972005097 has 32 divisors (see below), whose sum is σ = 1565337600. Its totient is φ = 524095488.

The previous prime is 972005071. The next prime is 972005119. The reversal of 972005097 is 790500279.

It is not a de Polignac number, because 972005097 - 2⁶ = 972005033 is a prime.

It is not an unprimeable number, because it can be changed into a prime (972001097) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 97804 + ... + 107282.

It is an arithmetic number, because the mean of its divisors is an integer number (48916800).

Almost surely, 2^972005097 is an apocalyptic number.

It is an amenable number.

972005097 is a deficient number, since it is larger than the sum of its proper divisors (593332503).

972005097 is a wasteful number, since it uses less digits than its factorization.

972005097 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9765.

The product of its (nonzero) digits is 39690, while the sum is 39.

The square root of 972005097 is about 31176.9962793082. The cubic root of 972005097 is about 990.5799061389.

The spelling of 972005097 in words is "nine hundred seventy-two million, five thousand, ninety-seven".