45972641 has 16 divisors (see below), whose sum is σ = 57189888. Its totient is φ = 36307200.

The previous prime is 45972631. The next prime is 45972649. The reversal of 45972641 is 14627954.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-45972641 is a prime.

It is a super-2 number, since 2×45972641² = 4226967441029762, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 45972595 and 45972604.

It is not an unprimeable number, because it can be changed into a prime (45972649) 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, 7025 + ... + 11886.

It is an arithmetic number, because the mean of its divisors is an integer number (3574368).

Almost surely, 2^45972641 is an apocalyptic number.

It is an amenable number.

45972641 is a deficient number, since it is larger than the sum of its proper divisors (11217247).

45972641 is a wasteful number, since it uses less digits than its factorization.

45972641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18952.

The product of its digits is 60480, while the sum is 38.

The square root of 45972641 is about 6780.3127508987. The cubic root of 45972641 is about 358.2337377917.

The spelling of 45972641 in words is "forty-five million, nine hundred seventy-two thousand, six hundred forty-one".