972965261 has 2 divisors, whose sum is σ = 972965262. Its totient is φ = 972965260.

The previous prime is 972965239. The next prime is 972965263. The reversal of 972965261 is 162569279.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 875568100 + 97397161 = 29590^2 + 9869^2 .

It is a cyclic number.

It is not a de Polignac number, because 972965261 - 2⁶ = 972965197 is a prime.

It is a super-2 number, since 2×972965261² = 1893322798225596242, which contains 22 as substring.

It is a Sophie Germain prime.

Together with 972965263, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (972965263) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 486482630 + 486482631.

It is an arithmetic number, because the mean of its divisors is an integer number (486482631).

Almost surely, 2^972965261 is an apocalyptic number.

It is an amenable number.

972965261 is a deficient number, since it is larger than the sum of its proper divisors (1).

972965261 is an equidigital number, since it uses as much as digits as its factorization.

972965261 is an evil number, because the sum of its binary digits is even.

The product of its digits is 408240, while the sum is 47.

The square root of 972965261 is about 31192.3910753889. The cubic root of 972965261 is about 990.9059696415.

The spelling of 972965261 in words is "nine hundred seventy-two million, nine hundred sixty-five thousand, two hundred sixty-one".