972115901 has 2 divisors, whose sum is σ = 972115902. Its totient is φ = 972115900.

The previous prime is 972115889. The next prime is 972115909. The reversal of 972115901 is 109511279.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 937951876 + 34164025 = 30626^2 + 5845^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-972115901 is a prime.

It is a super-3 number, since 3×972115901³ (a number of 28 digits) contains 333 as substring.

It is a Sophie Germain 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 (972115909) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 486057950 + 486057951.

It is an arithmetic number, because the mean of its divisors is an integer number (486057951).

Almost surely, 2^972115901 is an apocalyptic number.

It is an amenable number.

972115901 is a deficient number, since it is larger than the sum of its proper divisors (1).

972115901 is an equidigital number, since it uses as much as digits as its factorization.

972115901 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5670, while the sum is 35.

The square root of 972115901 is about 31178.7732439876. The cubic root of 972115901 is about 990.6175451890.

The spelling of 972115901 in words is "nine hundred seventy-two million, one hundred fifteen thousand, nine hundred one".