810315972 has 54 divisors (see below), whose sum is σ = 2062416174. Its totient is φ = 268255680.

The previous prime is 810315959. The next prime is 810315973. The reversal of 810315972 is 279513018.

It can be written as a sum of positive squares in only one way, i.e., 474107076 + 336208896 = 21774^2 + 18336^2 .

It is a super-2 number, since 2×810315972² = 1313223948956609568, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (810315973) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1313008 + ... + 1313624.

Almost surely, 2^810315972 is an apocalyptic number.

It is an amenable number.

810315972 is an abundant number, since it is smaller than the sum of its proper divisors (1252100202).

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

810315972 is a wasteful number, since it uses less digits than its factorization.

810315972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1009 (or 813 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 810315972 is about 28466.0494624737. The cubic root of 810315972 is about 932.2909457163.

The spelling of 810315972 in words is "eight hundred ten million, three hundred fifteen thousand, nine hundred seventy-two".