972784515 has 16 divisors (see below), whose sum is σ = 1638374400. Its totient is φ = 491512032.

The previous prime is 972784511. The next prime is 972784541. The reversal of 972784515 is 515487279.

It is not a de Polignac number, because 972784515 - 2² = 972784511 is a prime.

It is not an unprimeable number, because it can be changed into a prime (972784511) 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, 1706355 + ... + 1706924.

It is an arithmetic number, because the mean of its divisors is an integer number (102398400).

Almost surely, 2^972784515 is an apocalyptic number.

972784515 is a gapful number since it is divisible by the number (95) formed by its first and last digit.

972784515 is a deficient number, since it is larger than the sum of its proper divisors (665589885).

972784515 is a wasteful number, since it uses less digits than its factorization.

972784515 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3413306.

The product of its digits is 705600, while the sum is 48.

The square root of 972784515 is about 31189.4936637323. The cubic root of 972784515 is about 990.8446062372.

The spelling of 972784515 in words is "nine hundred seventy-two million, seven hundred eighty-four thousand, five hundred fifteen".