972592 has 20 divisors (see below), whose sum is σ = 1908360. Its totient is φ = 480128.

The previous prime is 972581. The next prime is 972599. The reversal of 972592 is 295279.

It is an Ulam number.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (972599) by changing a digit.

972592 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 3 ways as a sum of consecutive naturals, for example, 1083 + ... + 1765.

It is an arithmetic number, because the mean of its divisors is an integer number (95418).

2⁹⁷²⁵⁹² is an apocalyptic number.

It is an amenable number.

972592 is a deficient number, since it is larger than the sum of its proper divisors (935768).

972592 is a wasteful number, since it uses less digits than its factorization.

972592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 780 (or 774 counting only the distinct ones).

The product of its digits is 11340, while the sum is 34.

The square root of 972592 is about 986.2007909143. The cubic root of 972592 is about 99.0779238888.

The spelling of 972592 in words is "nine hundred seventy-two thousand, five hundred ninety-two".