45972633 has 32 divisors (see below), whose sum is σ = 73216000. Its totient is φ = 25634448.

The previous prime is 45972631. The next prime is 45972649. The reversal of 45972633 is 33627954.

It is not a de Polignac number, because 45972633 - 2¹ = 45972631 is a prime.

It is a super-2 number, since 2×45972633² = 4226965969905378, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 45972591 and 45972600.

It is not an unprimeable number, because it can be changed into a prime (45972631) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43728 + ... + 44766.

It is an arithmetic number, because the mean of its divisors is an integer number (2288000).

Almost surely, 2^45972633 is an apocalyptic number.

45972633 is a gapful number since it is divisible by the number (43) formed by its first and last digit.

It is an amenable number.

45972633 is a deficient number, since it is larger than the sum of its proper divisors (27243367).

45972633 is a wasteful number, since it uses less digits than its factorization.

45972633 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1106 (or 1092 counting only the distinct ones).

The product of its digits is 136080, while the sum is 39.

The square root of 45972633 is about 6780.3121609554. The cubic root of 45972633 is about 358.2337170122.

The spelling of 45972633 in words is "forty-five million, nine hundred seventy-two thousand, six hundred thirty-three".