972530264 has 32 divisors (see below), whose sum is σ = 1899638400. Its totient is φ = 466248960.

The previous prime is 972530249. The next prime is 972530267. The reversal of 972530264 is 462035279.

It is a super-2 number, since 2×972530264² = 1891630228791819392, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (972530267) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9044 + ... + 45020.

It is an arithmetic number, because the mean of its divisors is an integer number (59363700).

Almost surely, 2^972530264 is an apocalyptic number.

It is an amenable number.

972530264 is a deficient number, since it is larger than the sum of its proper divisors (927108136).

972530264 is a wasteful number, since it uses less digits than its factorization.

972530264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36123 (or 36119 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 38.

The square root of 972530264 is about 31185.4174895896. The cubic root of 972530264 is about 990.7582749620.

The spelling of 972530264 in words is "nine hundred seventy-two million, five hundred thirty thousand, two hundred sixty-four".