45637 has 4 divisors (see below), whose sum is σ = 46656. Its totient is φ = 44620.

The previous prime is 45631. The next prime is 45641. The reversal of 45637 is 73654.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-45637 is a prime.

It is a Duffinian number.

It is a plaindrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 439 + ... + 532.

It is an arithmetic number, because the mean of its divisors is an integer number (11664).

2⁴⁵⁶³⁷ is an apocalyptic number.

45637 is a gapful number since it is divisible by the number (47) formed by its first and last digit.

It is an amenable number.

45637 is a deficient number, since it is larger than the sum of its proper divisors (1019).

45637 is an equidigital number, since it uses as much as digits as its factorization.

45637 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1018.

The product of its digits is 2520, while the sum is 25.

The square root of 45637 is about 213.6281816615. The cubic root of 45637 is about 35.7359799623.

The spelling of 45637 in words is "forty-five thousand, six hundred thirty-seven".