972751 has 4 divisors (see below), whose sum is σ = 1047592. Its totient is φ = 897912.

The previous prime is 972721. The next prime is 972787. The reversal of 972751 is 157279.

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 972751 - 2⁷ = 972623 is a prime.

972751 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (972701) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 37401 + ... + 37426.

It is an arithmetic number, because the mean of its divisors is an integer number (261898).

2⁹⁷²⁷⁵¹ is an apocalyptic number.

972751 is a deficient number, since it is larger than the sum of its proper divisors (74841).

972751 is a wasteful number, since it uses less digits than its factorization.

972751 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74840.

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

The square root of 972751 is about 986.2814000071. The cubic root of 972751 is about 99.0833227034.

The spelling of 972751 in words is "nine hundred seventy-two thousand, seven hundred fifty-one".