972975253 has 2 divisors, whose sum is σ = 972975254. Its totient is φ = 972975252.

The previous prime is 972975203. The next prime is 972975257. The reversal of 972975253 is 352579279.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 942305809 + 30669444 = 30697^2 + 5538^2 .

It is a cyclic number.

It is not a de Polignac number, because 972975253 - 2²⁵ = 939420821 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 972975197 and 972975206.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (972975257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 486487626 + 486487627.

It is an arithmetic number, because the mean of its divisors is an integer number (486487627).

Almost surely, 2^972975253 is an apocalyptic number.

It is an amenable number.

972975253 is a deficient number, since it is larger than the sum of its proper divisors (1).

972975253 is an equidigital number, since it uses as much as digits as its factorization.

972975253 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1190700, while the sum is 49.

The square root of 972975253 is about 31192.5512422437. The cubic root of 972975253 is about 990.9093617114.

The spelling of 972975253 in words is "nine hundred seventy-two million, nine hundred seventy-five thousand, two hundred fifty-three".