972456 has 16 divisors (see below), whose sum is σ = 2431200. Its totient is φ = 324144.

The previous prime is 972443. The next prime is 972469. The reversal of 972456 is 654279.

It is an interprime number because it is at equal distance from previous prime (972443) and next prime (972469).

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 in 3 ways as a sum of consecutive naturals, for example, 20236 + ... + 20283.

It is an arithmetic number, because the mean of its divisors is an integer number (151950).

2⁹⁷²⁴⁵⁶ is an apocalyptic number.

It is an amenable number.

972456 is an abundant number, since it is smaller than the sum of its proper divisors (1458744).

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

972456 is a wasteful number, since it uses less digits than its factorization.

972456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40528 (or 40524 counting only the distinct ones).

The product of its digits is 15120, while the sum is 33.

The square root of 972456 is about 986.1318370279. The cubic root of 972456 is about 99.0733055680.

The spelling of 972456 in words is "nine hundred seventy-two thousand, four hundred fifty-six".