972509012 has 12 divisors (see below), whose sum is σ = 1743400596. Its totient is φ = 474394560.

The previous prime is 972509011. The next prime is 972509047. The reversal of 972509012 is 210905279.

It can be written as a sum of positive squares in 2 ways, for example, as 87684496 + 884824516 = 9364^2 + 29746^2 .

It is a super-2 number, since 2×972509012² = 1891547556842432288, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (972509011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2964803 + ... + 2965130.

It is an arithmetic number, because the mean of its divisors is an integer number (145283383).

Almost surely, 2^972509012 is an apocalyptic number.

It is an amenable number.

972509012 is a deficient number, since it is larger than the sum of its proper divisors (770891584).

972509012 is a wasteful number, since it uses less digits than its factorization.

972509012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5929978 (or 5929976 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 35.

The square root of 972509012 is about 31185.0767515490. The cubic root of 972509012 is about 990.7510581349.

The spelling of 972509012 in words is "nine hundred seventy-two million, five hundred nine thousand, twelve".