972536 has 16 divisors (see below), whose sum is σ = 1931040. Its totient is φ = 457600.

The previous prime is 972533. The next prime is 972557. The reversal of 972536 is 635279.

972536 = 239² + 240² + ... + 254².

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 972536.

It is not an unprimeable number, because it can be changed into a prime (972533) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3440 + ... + 3711.

It is an arithmetic number, because the mean of its divisors is an integer number (120690).

2⁹⁷²⁵³⁶ is an apocalyptic number.

It is an amenable number.

972536 is a deficient number, since it is larger than the sum of its proper divisors (958504).

972536 is a wasteful number, since it uses less digits than its factorization.

972536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7174 (or 7170 counting only the distinct ones).

The product of its digits is 11340, while the sum is 32.

The square root of 972536 is about 986.1723987214. The cubic root of 972536 is about 99.0760222795.

The spelling of 972536 in words is "nine hundred seventy-two thousand, five hundred thirty-six".