972509 has 4 divisors (see below), whose sum is σ = 1014816. Its totient is φ = 930204.

The previous prime is 972493. The next prime is 972533. The reversal of 972509 is 905279.

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 972509 - 2⁴ = 972493 is a prime.

It is a Duffinian number.

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 972509.

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

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 21119 + ... + 21164.

It is an arithmetic number, because the mean of its divisors is an integer number (253704).

2⁹⁷²⁵⁰⁹ is an apocalyptic number.

It is an amenable number.

972509 is a deficient number, since it is larger than the sum of its proper divisors (42307).

972509 is a wasteful number, since it uses less digits than its factorization.

972509 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42306.

The product of its (nonzero) digits is 5670, while the sum is 32.

The square root of 972509 is about 986.1587093364. The cubic root of 972509 is about 99.0751054060.

The spelling of 972509 in words is "nine hundred seventy-two thousand, five hundred nine".