45743625 has 48 divisors (see below), whose sum is σ = 83740176. Its totient is φ = 24019200.

The previous prime is 45743623. The next prime is 45743627. The reversal of 45743625 is 52634754.

It is an interprime number because it is at equal distance from previous prime (45743623) and next prime (45743627).

It can be written as a sum of positive squares in 8 ways, for example, as 24176889 + 21566736 = 4917^2 + 4644^2 .

It is not a de Polignac number, because 45743625 - 2¹ = 45743623 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 45743625.

It is not an unprimeable number, because it can be changed into a prime (45743623) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 81847 + ... + 82403.

It is an arithmetic number, because the mean of its divisors is an integer number (1744587).

Almost surely, 2^45743625 is an apocalyptic number.

45743625 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

45743625 is a deficient number, since it is larger than the sum of its proper divisors (37996551).

45743625 is a wasteful number, since it uses less digits than its factorization.

45743625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 651 (or 638 counting only the distinct ones).

The product of its digits is 100800, while the sum is 36.

The square root of 45743625 is about 6763.4033592563. The cubic root of 45743625 is about 357.6378916127.

The spelling of 45743625 in words is "forty-five million, seven hundred forty-three thousand, six hundred twenty-five".