3157164 has 96 divisors (see below), whose sum is σ = 9031680. Its totient is φ = 950400.

The previous prime is 3157163. The next prime is 3157171. The reversal of 3157164 is 4617513.

3157164 is a `hidden beast` number, since 31 + 571 + 64 = 666.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (3157163) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 76984 + ... + 77024.

It is an arithmetic number, because the mean of its divisors is an integer number (94080).

Almost surely, 2^3157164 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3157164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4515840).

3157164 is an abundant number, since it is smaller than the sum of its proper divisors (5874516).

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

3157164 is a wasteful number, since it uses less digits than its factorization.

3157164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 100 counting only the distinct ones).

The product of its digits is 2520, while the sum is 27.

The square root of 3157164 is about 1776.8410170862. The cubic root of 3157164 is about 146.7007657171.

It can be divided in two parts, 3157 and 164, that added together give a triangular number (3321 = T₈₁).

The spelling of 3157164 in words is "three million, one hundred fifty-seven thousand, one hundred sixty-four".