972131 has 2 divisors, whose sum is σ = 972132. Its totient is φ = 972130.

The previous prime is 972121. The next prime is 972133. The reversal of 972131 is 131279.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-972131 is a prime.

It is a super-2 number, since 2×972131² = 1890077362322, which contains 22 as substring.

Together with 972133, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 972097 and 972106.

It is not a weakly prime, because it can be changed into another prime (972133) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 486065 + 486066.

It is an arithmetic number, because the mean of its divisors is an integer number (486066).

2⁹⁷²¹³¹ is an apocalyptic number.

972131 is a deficient number, since it is larger than the sum of its proper divisors (1).

972131 is an equidigital number, since it uses as much as digits as its factorization.

972131 is an evil number, because the sum of its binary digits is even.

The product of its digits is 378, while the sum is 23.

The square root of 972131 is about 985.9670379886. The cubic root of 972131 is about 99.0622673952.

The spelling of 972131 in words is "nine hundred seventy-two thousand, one hundred thirty-one".