45972627 has 16 divisors (see below), whose sum is σ = 64765440. Its totient is φ = 28959392.

The previous prime is 45972617. The next prime is 45972631. The reversal of 45972627 is 72627954.

It is a cyclic number.

It is not a de Polignac number, because 45972627 - 2¹⁶ = 45907091 is a prime.

It is a super-2 number, since 2×45972627² = 4226964866562258, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (45972617) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1533 + ... + 9710.

It is an arithmetic number, because the mean of its divisors is an integer number (4047840).

Almost surely, 2^45972627 is an apocalyptic number.

45972627 is a gapful number since it is divisible by the number (47) formed by its first and last digit.

45972627 is a deficient number, since it is larger than the sum of its proper divisors (18792813).

45972627 is a wasteful number, since it uses less digits than its factorization.

45972627 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11322.

The product of its digits is 211680, while the sum is 42.

The square root of 45972627 is about 6780.3117184979. The cubic root of 45972627 is about 358.2337014275.

The spelling of 45972627 in words is "forty-five million, nine hundred seventy-two thousand, six hundred twenty-seven".