972571 has 4 divisors (see below), whose sum is σ = 993312. Its totient is φ = 951832.

The previous prime is 972557. The next prime is 972577. The reversal of 972571 is 175279.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 972571 - 2⁷ = 972443 is a prime.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (972577) 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 3 ways as a sum of consecutive naturals, for example, 10300 + ... + 10393.

It is an arithmetic number, because the mean of its divisors is an integer number (248328).

2⁹⁷²⁵⁷¹ is an apocalyptic number.

972571 is a deficient number, since it is larger than the sum of its proper divisors (20741).

972571 is a wasteful number, since it uses less digits than its factorization.

972571 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20740.

The product of its digits is 4410, while the sum is 31.

The square root of 972571 is about 986.1901439378. The cubic root of 972571 is about 99.0772107939.

The spelling of 972571 in words is "nine hundred seventy-two thousand, five hundred seventy-one".