972459 has 8 divisors (see below), whose sum is σ = 1440720. Its totient is φ = 648288.

The previous prime is 972443. The next prime is 972469. The reversal of 972459 is 954279.

It is not a de Polignac number, because 972459 - 2⁴ = 972443 is a prime.

972459 is a lucky number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 972459.

It is not an unprimeable number, because it can be changed into a prime (972409) 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 7 ways as a sum of consecutive naturals, for example, 17982 + ... + 18035.

It is an arithmetic number, because the mean of its divisors is an integer number (180090).

2⁹⁷²⁴⁵⁹ is an apocalyptic number.

972459 is a deficient number, since it is larger than the sum of its proper divisors (468261).

972459 is a wasteful number, since it uses less digits than its factorization.

972459 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36026 (or 36020 counting only the distinct ones).

The product of its digits is 22680, while the sum is 36.

The square root of 972459 is about 986.1333581215. The cubic root of 972459 is about 99.0734074473.

It can be divided in two parts, 972 and 459, that added together give a triangular number (1431 = T₅₃).

The spelling of 972459 in words is "nine hundred seventy-two thousand, four hundred fifty-nine".