31007864 has 48 divisors (see below), whose sum is σ = 64501920. Its totient is φ = 13925120.

The previous prime is 31007861. The next prime is 31007869. The reversal of 31007864 is 46870013.

31007864 = 63² + 64² + ... + 453².

It is a super-2 number, since 2×31007864² = 1922975259684992, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31007861) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 71729 + ... + 72159.

It is an arithmetic number, because the mean of its divisors is an integer number (1343790).

Almost surely, 2^31007864 is an apocalyptic number.

31007864 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

31007864 is an abundant number, since it is smaller than the sum of its proper divisors (33494056).

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

31007864 is a wasteful number, since it uses less digits than its factorization.

31007864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 31007864 is about 5568.4705260960. The cubic root of 31007864 is about 314.1646262379.

Adding to 31007864 its reverse (46870013), we get a palindrome (77877877).

The spelling of 31007864 in words is "thirty-one million, seven thousand, eight hundred sixty-four".