972115905 has 16 divisors (see below), whose sum is σ = 1637248320. Its totient is φ = 491174208.

The previous prime is 972115901. The next prime is 972115909. The reversal of 972115905 is 509511279.

It is an interprime number because it is at equal distance from previous prime (972115901) and next prime (972115909).

It is not a de Polignac number, because 972115905 - 2² = 972115901 is a prime.

It is not an unprimeable number, because it can be changed into a prime (972115901) 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, 1705182 + ... + 1705751.

It is an arithmetic number, because the mean of its divisors is an integer number (102328020).

Almost surely, 2^972115905 is an apocalyptic number.

972115905 is a gapful number since it is divisible by the number (95) formed by its first and last digit.

It is an amenable number.

972115905 is a deficient number, since it is larger than the sum of its proper divisors (665132415).

972115905 is a wasteful number, since it uses less digits than its factorization.

972115905 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3410960.

The product of its (nonzero) digits is 28350, while the sum is 39.

The square root of 972115905 is about 31178.7733081339. The cubic root of 972115905 is about 990.6175465477.

The spelling of 972115905 in words is "nine hundred seventy-two million, one hundred fifteen thousand, nine hundred five".