972501 has 8 divisors (see below), whose sum is σ = 1338624. Its totient is φ = 627360.

The previous prime is 972493. The next prime is 972533. The reversal of 972501 is 105279.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 972501 - 2³ = 972493 is a prime.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Curzon 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 972501.

It is not an unprimeable number, because it can be changed into a prime (972581) 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, 5136 + ... + 5321.

It is an arithmetic number, because the mean of its divisors is an integer number (167328).

2⁹⁷²⁵⁰¹ is an apocalyptic number.

It is an amenable number.

972501 is a deficient number, since it is larger than the sum of its proper divisors (366123).

972501 is a wasteful number, since it uses less digits than its factorization.

972501 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10491.

The product of its (nonzero) digits is 630, while the sum is 24.

The square root of 972501 is about 986.1546531858. The cubic root of 972501 is about 99.0748337365.

The spelling of 972501 in words is "nine hundred seventy-two thousand, five hundred one".