972085501 has 16 divisors (see below), whose sum is σ = 1028764800. Its totient is φ = 916672768.

The previous prime is 972085493. The next prime is 972085511. The reversal of 972085501 is 105580279.

It is a cyclic number.

It is not a de Polignac number, because 972085501 - 2³ = 972085493 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (972085511) 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 in 15 ways as a sum of consecutive naturals, for example, 1201185 + ... + 1201993.

It is an arithmetic number, because the mean of its divisors is an integer number (64297800).

Almost surely, 2^972085501 is an apocalyptic number.

It is an amenable number.

972085501 is a deficient number, since it is larger than the sum of its proper divisors (56679299).

972085501 is a wasteful number, since it uses less digits than its factorization.

972085501 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1508.

The product of its (nonzero) digits is 25200, while the sum is 37.

The square root of 972085501 is about 31178.2857290134. The cubic root of 972085501 is about 990.6072188869.

The spelling of 972085501 in words is "nine hundred seventy-two million, eighty-five thousand, five hundred one".