972561 has 8 divisors (see below), whose sum is σ = 1328544. Its totient is φ = 632480.

The previous prime is 972557. The next prime is 972577. The reversal of 972561 is 165279.

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

It is a cyclic number.

It is not a de Polignac number, because 972561 - 2² = 972557 is a prime.

It is a nialpdrome in base 16.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 972561.

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 (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3831 + ... + 4076.

It is an arithmetic number, because the mean of its divisors is an integer number (166068).

2⁹⁷²⁵⁶¹ is an apocalyptic number.

It is an amenable number.

972561 is a deficient number, since it is larger than the sum of its proper divisors (355983).

972561 is a wasteful number, since it uses less digits than its factorization.

972561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7951.

The product of its digits is 3780, while the sum is 30.

The square root of 972561 is about 986.1850739085. The cubic root of 972561 is about 99.0768712212.

The spelling of 972561 in words is "nine hundred seventy-two thousand, five hundred sixty-one".