972111 has 24 divisors (see below), whose sum is σ = 1600560. Its totient is φ = 521472.

The previous prime is 972091. The next prime is 972113. The reversal of 972111 is 111279.

It is not a de Polignac number, because 972111 - 2⁵ = 972079 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nialpdrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (972113) 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 23 ways as a sum of consecutive naturals, for example, 2305 + ... + 2693.

It is an arithmetic number, because the mean of its divisors is an integer number (66690).

2⁹⁷²¹¹¹ is an apocalyptic number.

972111 is a deficient number, since it is larger than the sum of its proper divisors (628449).

972111 is a wasteful number, since it uses less digits than its factorization.

972111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 416 counting only the distinct ones).

The product of its digits is 126, while the sum is 21.

The square root of 972111 is about 985.9568956095. The cubic root of 972111 is about 99.0615880427.

The spelling of 972111 in words is "nine hundred seventy-two thousand, one hundred eleven".