972708401 has 16 divisors (see below), whose sum is σ = 1210531200. Its totient is φ = 762628608.

The previous prime is 972708389. The next prime is 972708403. The reversal of 972708401 is 104807279.

It is a de Polignac number, because none of the positive numbers 2^k-972708401 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (972708403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 122240 + ... + 129953.

It is an arithmetic number, because the mean of its divisors is an integer number (75658200).

Almost surely, 2^972708401 is an apocalyptic number.

It is an amenable number.

972708401 is a deficient number, since it is larger than the sum of its proper divisors (237822799).

972708401 is a wasteful number, since it uses less digits than its factorization.

972708401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252248.

The product of its (nonzero) digits is 28224, while the sum is 38.

The square root of 972708401 is about 31188.2734533350. The cubic root of 972708401 is about 990.8187632020.

The spelling of 972708401 in words is "nine hundred seventy-two million, seven hundred eight thousand, four hundred one".