972137309 has 16 divisors (see below), whose sum is σ = 1144813824. Its totient is φ = 813835200.

The previous prime is 972137293. The next prime is 972137311. The reversal of 972137309 is 903731279.

It is a cyclic number.

It is not a de Polignac number, because 972137309 - 2⁴ = 972137293 is a prime.

It is a super-2 number, since 2×972137309² = 1890101895099522962, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (972137359) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53747 + ... + 69519.

It is an arithmetic number, because the mean of its divisors is an integer number (71550864).

Almost surely, 2^972137309 is an apocalyptic number.

It is an amenable number.

972137309 is a deficient number, since it is larger than the sum of its proper divisors (172676515).

972137309 is a wasteful number, since it uses less digits than its factorization.

972137309 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16228.

The product of its (nonzero) digits is 71442, while the sum is 41.

The square root of 972137309 is about 31179.1165525901. The cubic root of 972137309 is about 990.6248169504.

The spelling of 972137309 in words is "nine hundred seventy-two million, one hundred thirty-seven thousand, three hundred nine".