972512 has 12 divisors (see below), whose sum is σ = 1914696. Its totient is φ = 486240.

The previous prime is 972493. The next prime is 972533. The reversal of 972512 is 215279.

It is a Smith number, since the sum of its digits (26) coincides with the sum of the digits of its prime factors.

It is a zygodrome in base 5.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 972512.

It is an unprimeable number.

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 as a sum of consecutive naturals, namely, 15164 + ... + 15227.

It is an arithmetic number, because the mean of its divisors is an integer number (159558).

2⁹⁷²⁵¹² is an apocalyptic number.

It is an amenable number.

972512 is a deficient number, since it is larger than the sum of its proper divisors (942184).

972512 is a wasteful number, since it uses less digits than its factorization.

972512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30401 (or 30393 counting only the distinct ones).

The product of its digits is 1260, while the sum is 26.

The square root of 972512 is about 986.1602303886. The cubic root of 972512 is about 99.0752072817.

The spelling of 972512 in words is "nine hundred seventy-two thousand, five hundred twelve".