972753 has 4 divisors (see below), whose sum is σ = 1297008. Its totient is φ = 648500.

The previous prime is 972721. The next prime is 972787. The reversal of 972753 is 357279.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 972753 - 2⁵ = 972721 is a prime.

It is a D-number.

It is not an unprimeable number, because it can be changed into a prime (972793) 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, 162123 + ... + 162128.

It is an arithmetic number, because the mean of its divisors is an integer number (324252).

2⁹⁷²⁷⁵³ is an apocalyptic number.

It is an amenable number.

972753 is a deficient number, since it is larger than the sum of its proper divisors (324255).

972753 is a wasteful number, since it uses less digits than its factorization.

972753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324254.

The product of its digits is 13230, while the sum is 33.

The square root of 972753 is about 986.2824139160. The cubic root of 972753 is about 99.0833906093.

It can be divided in two parts, 97 and 2753, that added together give a triangular number (2850 = T₇₅).

The spelling of 972753 in words is "nine hundred seventy-two thousand, seven hundred fifty-three".