972515 has 16 divisors (see below), whose sum is σ = 1274400. Its totient is φ = 709632.

The previous prime is 972493. The next prime is 972533. The reversal of 972515 is 515279.

It is a cyclic number.

It is not a de Polignac number, because 972515 - 2⁸ = 972259 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 972515.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2579 + ... + 2931.

It is an arithmetic number, because the mean of its divisors is an integer number (79650).

2⁹⁷²⁵¹⁵ is an apocalyptic number.

972515 is a gapful number since it is divisible by the number (95) formed by its first and last digit.

972515 is a deficient number, since it is larger than the sum of its proper divisors (301885).

972515 is a wasteful number, since it uses less digits than its factorization.

972515 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406.

The product of its digits is 3150, while the sum is 29.

The square root of 972515 is about 986.1617514384. The cubic root of 972515 is about 99.0753091571.

The spelling of 972515 in words is "nine hundred seventy-two thousand, five hundred fifteen".