972101 has 16 divisors (see below), whose sum is σ = 1123584. Its totient is φ = 834624.

The previous prime is 972091. The next prime is 972113. The reversal of 972101 is 101279.

It is a cyclic number.

It is not a de Polignac number, because 972101 - 2¹⁰ = 971077 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 972101.

It is not an unprimeable number, because it can be changed into a prime (972121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20660 + ... + 20706.

It is an arithmetic number, because the mean of its divisors is an integer number (70224).

2⁹⁷²¹⁰¹ is an apocalyptic number.

It is an amenable number.

972101 is a deficient number, since it is larger than the sum of its proper divisors (151483).

972101 is a wasteful number, since it uses less digits than its factorization.

972101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140.

The product of its (nonzero) digits is 126, while the sum is 20.

The square root of 972101 is about 985.9518243809. The cubic root of 972101 is about 99.0612483629.

Multiplying 972101 by its product of nonzero digits (126), we get a triangular number (122484726 = T₁₅₆₅₁).

The spelling of 972101 in words is "nine hundred seventy-two thousand, one hundred one".