972689537 has 2 divisors, whose sum is σ = 972689538. Its totient is φ = 972689536.

The previous prime is 972689491. The next prime is 972689539. The reversal of 972689537 is 735986279.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 538425616 + 434263921 = 23204^2 + 20839^2 .

It is a cyclic number.

It is not a de Polignac number, because 972689537 - 2¹⁴ = 972673153 is a prime.

It is a super-2 number, since 2×972689537² = 1892249870778548738, which contains 22 as substring.

Together with 972689539, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (972689539) 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 as a sum of consecutive naturals, namely, 486344768 + 486344769.

It is an arithmetic number, because the mean of its divisors is an integer number (486344769).

Almost surely, 2^972689537 is an apocalyptic number.

It is an amenable number.

972689537 is a deficient number, since it is larger than the sum of its proper divisors (1).

972689537 is an equidigital number, since it uses as much as digits as its factorization.

972689537 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 5715360, while the sum is 56.

The square root of 972689537 is about 31187.9710305111. The cubic root of 972689537 is about 990.8123580875.

The spelling of 972689537 in words is "nine hundred seventy-two million, six hundred eighty-nine thousand, five hundred thirty-seven".