9972795 has 64 divisors (see below), whose sum is σ = 19961856. Its totient is φ = 4147200.

The previous prime is 9972779. The next prime is 9972803. The reversal of 9972795 is 5972799.

It is not a de Polignac number, because 9972795 - 2⁴ = 9972779 is a prime.

It is a super-2 number, since 2×9972795² = 198913280224050, which contains 22 as substring.

9972795 is a lucky number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 65970 + ... + 66120.

It is an arithmetic number, because the mean of its divisors is an integer number (311904).

Almost surely, 2^9972795 is an apocalyptic number.

9972795 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

9972795 is a wasteful number, since it uses less digits than its factorization.

9972795 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220.

The product of its digits is 357210, while the sum is 48.

The square root of 9972795 is about 3157.9732424452. The cubic root of 9972795 is about 215.2479202466.

The spelling of 9972795 in words is "nine million, nine hundred seventy-two thousand, seven hundred ninety-five".