31312164 has 48 divisors (see below), whose sum is σ = 83317248. Its totient is φ = 9067008.

The previous prime is 31312163. The next prime is 31312217. The reversal of 31312164 is 46121313.

It is a super-2 number, since 2×31312164² = 1960903228725792, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 31312164.

It is not an unprimeable number, because it can be changed into a prime (31312163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3252 + ... + 8555.

It is an arithmetic number, because the mean of its divisors is an integer number (1735776).

Almost surely, 2^31312164 is an apocalyptic number.

31312164 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

31312164 is an abundant number, since it is smaller than the sum of its proper divisors (52005084).

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

31312164 is a wasteful number, since it uses less digits than its factorization.

31312164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11844 (or 11842 counting only the distinct ones).

The product of its digits is 432, while the sum is 21.

The square root of 31312164 is about 5595.7272985734. The cubic root of 31312164 is about 315.1889820889.

Adding to 31312164 its reverse (46121313), we get a palindrome (77433477).

The spelling of 31312164 in words is "thirty-one million, three hundred twelve thousand, one hundred sixty-four".