972761 has 4 divisors (see below), whose sum is σ = 975312. Its totient is φ = 970212.

The previous prime is 972721. The next prime is 972787. The reversal of 972761 is 167279.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 972761 - 2¹⁴ = 956377 is a prime.

It is a Duffinian 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, 575 + ... + 1508.

It is an arithmetic number, because the mean of its divisors is an integer number (243828).

2⁹⁷²⁷⁶¹ is an apocalyptic number.

It is an amenable number.

972761 is a deficient number, since it is larger than the sum of its proper divisors (2551).

972761 is a wasteful number, since it uses less digits than its factorization.

972761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2550.

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

The square root of 972761 is about 986.2864695412. The cubic root of 972761 is about 99.0836622318.

The spelling of 972761 in words is "nine hundred seventy-two thousand, seven hundred sixty-one".