972671 has 8 divisors (see below), whose sum is σ = 1117824. Its totient is φ = 829080.

The previous prime is 972661. The next prime is 972679. The reversal of 972671 is 176279.

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

It is not a de Polignac number, because 972671 - 2¹⁸ = 710527 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (972679) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1736 + ... + 2226.

It is an arithmetic number, because the mean of its divisors is an integer number (139728).

2⁹⁷²⁶⁷¹ is an apocalyptic number.

972671 is a deficient number, since it is larger than the sum of its proper divisors (145153).

972671 is a wasteful number, since it uses less digits than its factorization.

972671 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 781.

The product of its digits is 5292, while the sum is 32.

The square root of 972671 is about 986.2408427965. The cubic root of 972671 is about 99.0806063922.

The spelling of 972671 in words is "nine hundred seventy-two thousand, six hundred seventy-one".