972585301 has 2 divisors, whose sum is σ = 972585302. Its totient is φ = 972585300.

The previous prime is 972585269. The next prime is 972585307. The reversal of 972585301 is 103585279.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 804856900 + 167728401 = 28370^2 + 12951^2 .

It is a cyclic number.

It is not a de Polignac number, because 972585301 - 2⁵ = 972585269 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (972585307) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 486292650 + 486292651.

It is an arithmetic number, because the mean of its divisors is an integer number (486292651).

Almost surely, 2^972585301 is an apocalyptic number.

It is an amenable number.

972585301 is a deficient number, since it is larger than the sum of its proper divisors (1).

972585301 is an equidigital number, since it uses as much as digits as its factorization.

972585301 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 75600, while the sum is 40.

The square root of 972585301 is about 31186.2998927414. The cubic root of 972585301 is about 990.7769641266.

The spelling of 972585301 in words is "nine hundred seventy-two million, five hundred eighty-five thousand, three hundred one".