972954 has 24 divisors (see below), whose sum is σ = 2126592. Its totient is φ = 321480.

The previous prime is 972943. The next prime is 972967. The reversal of 972954 is 459279.

It is a super-2 number, since 2×972954² = 1893278972232, which contains 22 as substring.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 972954.

It is an unprimeable number.

972954 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 11 ways as a sum of consecutive naturals, for example, 3297 + ... + 3579.

It is an arithmetic number, because the mean of its divisors is an integer number (88608).

2⁹⁷²⁹⁵⁴ is an apocalyptic number.

972954 is an abundant number, since it is smaller than the sum of its proper divisors (1153638).

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

972954 is a wasteful number, since it uses less digits than its factorization.

972954 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 479 counting only the distinct ones).

The product of its digits is 22680, while the sum is 36.

The square root of 972954 is about 986.3843064445. The cubic root of 972954 is about 99.0902146745.

The spelling of 972954 in words is "nine hundred seventy-two thousand, nine hundred fifty-four".