972771 has 8 divisors (see below), whose sum is σ = 1315584. Its totient is φ = 639240.

The previous prime is 972721. The next prime is 972787. The reversal of 972771 is 177279.

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

It is not a de Polignac number, because 972771 - 2⁹ = 972259 is a prime.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax 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 7 ways as a sum of consecutive naturals, for example, 2071 + ... + 2496.

It is an arithmetic number, because the mean of its divisors is an integer number (164448).

2⁹⁷²⁷⁷¹ is an apocalyptic number.

972771 is a deficient number, since it is larger than the sum of its proper divisors (342813).

972771 is a wasteful number, since it uses less digits than its factorization.

972771 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4641.

The product of its digits is 6174, while the sum is 33.

The square root of 972771 is about 986.2915390492. The cubic root of 972771 is about 99.0840017579.

The spelling of 972771 in words is "nine hundred seventy-two thousand, seven hundred seventy-one".