4158 has 32 divisors (see below), whose sum is σ = 11520. Its totient is φ = 1080.

The previous prime is 4157. The next prime is 4159. The reversal of 4158 is 8514.

It is an interprime number because it is at equal distance from previous prime (4157) and next prime (4159).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a d-powerful number, because it can be written as **4**^{5} + **5**^{5} + **1** + **8** .

It is a Curzon number.

It is a self number, because there is not a number *n* which added to its sum of digits gives 4158.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4153) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 373 + ... + 383.

It is an arithmetic number, because the mean of its divisors is an integer number (360).

It is a practical number, because each smaller number is the sum of distinct divisors of 4158, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5760).

4158 is an abundant number, since it is smaller than the sum of its proper divisors (7362).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4158 is a wasteful number, since it uses less digits than its factorization.

4158 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29 (or 23 counting only the distinct ones).

The product of its digits is 160, while the sum is 18.

The square root of 4158 is about 64.4825557806. The cubic root of 4158 is about 16.0803252329.

4158 divided by its sum of digits (18) gives a triangular number (231 = T_{21}).

Subtracting 4158 from its reverse (8514), we obtain a square (4356 = 66^{2}).

It can be divided in two parts, 41 and 58, that added together give a palindrome (99).

The spelling of 4158 in words is "four thousand, one hundred fifty-eight".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 54 63 66 77 99 126 154 189 198 231 297 378 462 594 693 1386 2079 4158

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