45687 has 8 divisors (see below), whose sum is σ = 61936. Its totient is φ = 29952.

The previous prime is 45677. The next prime is 45691. The reversal of 45687 is 78654.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 45687 - 2¹⁴ = 29303 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45667) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 213 + ... + 369.

It is an arithmetic number, because the mean of its divisors is an integer number (7742).

2⁴⁵⁶⁸⁷ is an apocalyptic number.

45687 is a deficient number, since it is larger than the sum of its proper divisors (16249).

45687 is a wasteful number, since it uses less digits than its factorization.

45687 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257.

The product of its digits is 6720, while the sum is 30.

The square root of 45687 is about 213.7451753841. The cubic root of 45687 is about 35.7490260057.

The spelling of 45687 in words is "forty-five thousand, six hundred eighty-seven".