42972795 has 32 divisors (see below), whose sum is σ = 77552640. Its totient is φ = 22572000.

The previous prime is 42972791. The next prime is 42972803. The reversal of 42972795 is 59727924.

42972795 is nontrivially palindromic in base 13.

It is not a de Polignac number, because 42972795 - 2² = 42972791 is a prime.

It is a super-2 number, since 2×42972795² = 3693322220224050, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a nialpdrome in base 9.

It is a self number, because there is not a number n which added to its sum of digits gives 42972795.

It is not an unprimeable number, because it can be changed into a prime (42972791) 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 31 ways as a sum of consecutive naturals, for example, 6670 + ... + 11420.

It is an arithmetic number, because the mean of its divisors is an integer number (2423520).

Almost surely, 2^42972795 is an apocalyptic number.

42972795 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

42972795 is a deficient number, since it is larger than the sum of its proper divisors (34579845).

42972795 is a wasteful number, since it uses less digits than its factorization.

42972795 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4832 (or 4826 counting only the distinct ones).

The product of its digits is 317520, while the sum is 45.

The square root of 42972795 is about 6555.3638342963. The cubic root of 42972795 is about 350.2659067741.

The spelling of 42972795 in words is "forty-two million, nine hundred seventy-two thousand, seven hundred ninety-five".