972725 has 24 divisors (see below), whose sum is σ = 1348872. Its totient is φ = 691200.

The previous prime is 972721. The next prime is 972787. The reversal of 972725 is 527279.

It can be written as a sum of positive squares in 12 ways, for example, as 669124 + 303601 = 818^2 + 551^2 .

It is not a de Polignac number, because 972725 - 2² = 972721 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 972691 and 972700.

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 972725.

It is not an unprimeable number, because it can be changed into a prime (972721) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13289 + ... + 13361.

It is an arithmetic number, because the mean of its divisors is an integer number (56203).

2⁹⁷²⁷²⁵ is an apocalyptic number.

It is an amenable number.

972725 is a deficient number, since it is larger than the sum of its proper divisors (376147).

972725 is a wasteful number, since it uses less digits than its factorization.

972725 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 132 counting only the distinct ones).

The product of its digits is 8820, while the sum is 32.

The square root of 972725 is about 986.2682190966. The cubic root of 972725 is about 99.0824399186.

The spelling of 972725 in words is "nine hundred seventy-two thousand, seven hundred twenty-five".