972141 has 16 divisors (see below), whose sum is σ = 1378176. Its totient is φ = 608256.

The previous prime is 972137. The next prime is 972161. The reversal of 972141 is 141279.

It is not a de Polignac number, because 972141 - 2² = 972137 is a prime.

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 972141.

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 (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4941 + ... + 5133.

It is an arithmetic number, because the mean of its divisors is an integer number (86136).

2⁹⁷²¹⁴¹ is an apocalyptic number.

It is an amenable number.

972141 is a deficient number, since it is larger than the sum of its proper divisors (406035).

972141 is a wasteful number, since it uses less digits than its factorization.

972141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292.

The product of its digits is 504, while the sum is 24.

The square root of 972141 is about 985.9721091390. The cubic root of 972141 is about 99.0626070680.

The spelling of 972141 in words is "nine hundred seventy-two thousand, one hundred forty-one".