972513 has 16 divisors (see below), whose sum is σ = 1456000. Its totient is φ = 641520.

The previous prime is 972493. The next prime is 972533. The reversal of 972513 is 315279.

It is an interprime number because it is at equal distance from previous prime (972493) and next prime (972533).

It is not a de Polignac number, because 972513 - 2⁵ = 972481 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 972513.

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

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4788 + ... + 4986.

It is an arithmetic number, because the mean of its divisors is an integer number (91000).

2⁹⁷²⁵¹³ is an apocalyptic number.

It is an amenable number.

972513 is a deficient number, since it is larger than the sum of its proper divisors (483487).

972513 is a wasteful number, since it uses less digits than its factorization.

972513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389 (or 383 counting only the distinct ones).

The product of its digits is 1890, while the sum is 27.

The square root of 972513 is about 986.1607374054. The cubic root of 972513 is about 99.0752412402.

It can be divided in two parts, 972 and 513, that added together give a triangular number (1485 = T₅₄).

The spelling of 972513 in words is "nine hundred seventy-two thousand, five hundred thirteen".