312413164 has 48 divisors (see below), whose sum is σ = 657248256. Its totient is φ = 127108800.

The previous prime is 312413149. The next prime is 312413173. The reversal of 312413164 is 461314213.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42609 + ... + 49399.

It is an arithmetic number, because the mean of its divisors is an integer number (13692672).

Almost surely, 2^312413164 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 312413164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328624128).

312413164 is an abundant number, since it is smaller than the sum of its proper divisors (344835092).

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

312413164 is a wasteful number, since it uses less digits than its factorization.

312413164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6886 (or 6884 counting only the distinct ones).

The product of its digits is 1728, while the sum is 25.

The square root of 312413164 is about 17675.2132660401. The cubic root of 312413164 is about 678.5415425476.

Adding to 312413164 its reverse (461314213), we get a palindrome (773727377).

The spelling of 312413164 in words is "three hundred twelve million, four hundred thirteen thousand, one hundred sixty-four".