45957645 has 32 divisors (see below), whose sum is σ = 82938240. Its totient is φ = 24140160.

The previous prime is 45957641. The next prime is 45957649. The reversal of 45957645 is 54675954.

It is an interprime number because it is at equal distance from previous prime (45957641) and next prime (45957649).

It is not a de Polignac number, because 45957645 - 2² = 45957641 is a prime.

It is a super-3 number, since 3×45957645³ (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a self number, because there is not a number n which added to its sum of digits gives 45957645.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45957641) 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, 6505 + ... + 11585.

It is an arithmetic number, because the mean of its divisors is an integer number (2591820).

Almost surely, 2^45957645 is an apocalyptic number.

45957645 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

45957645 is a deficient number, since it is larger than the sum of its proper divisors (36980595).

45957645 is a wasteful number, since it uses less digits than its factorization.

45957645 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5162 (or 5156 counting only the distinct ones).

The product of its digits is 756000, while the sum is 45.

The square root of 45957645 is about 6779.2068120098. The cubic root of 45957645 is about 358.1947823229.

The spelling of 45957645 in words is "forty-five million, nine hundred fifty-seven thousand, six hundred forty-five".