972084 has 24 divisors (see below), whose sum is σ = 2308320. Its totient is φ = 318304.

The previous prime is 972079. The next prime is 972091. The reversal of 972084 is 480279.

It is a congruent number.

It is an unprimeable number.

972084 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 7 ways as a sum of consecutive naturals, for example, 22 + ... + 1394.

It is an arithmetic number, because the mean of its divisors is an integer number (96180).

2⁹⁷²⁰⁸⁴ is an apocalyptic number.

It is an amenable number.

972084 is an abundant number, since it is smaller than the sum of its proper divisors (1336236).

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

972084 is a wasteful number, since it uses less digits than its factorization.

972084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1439 (or 1437 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 972084 is about 985.9432032323. The cubic root of 972084 is about 99.0606709020.

The spelling of 972084 in words is "nine hundred seventy-two thousand, eighty-four".