45787 has 8 divisors (see below), whose sum is σ = 54272. Its totient is φ = 37800.

The previous prime is 45779. The next prime is 45817. The reversal of 45787 is 78754.

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 45787 - 2³ = 45779 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a Duffinian number.

It is a nialpdrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (45707) 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, 112 + ... + 322.

It is an arithmetic number, because the mean of its divisors is an integer number (6784).

2⁴⁵⁷⁸⁷ is an apocalyptic number.

45787 is a deficient number, since it is larger than the sum of its proper divisors (8485).

45787 is a wasteful number, since it uses less digits than its factorization.

45787 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249.

The product of its digits is 7840, while the sum is 31.

The square root of 45787 is about 213.9789709294. The cubic root of 45787 is about 35.7750895651.

The spelling of 45787 in words is "forty-five thousand, seven hundred eighty-seven".