45859 has 6 divisors (see below), whose sum is σ = 50540. Its totient is φ = 41580.

The previous prime is 45853. The next prime is 45863. The reversal of 45859 is 95854.

45859 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 45859 - 2⁵ = 45827 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 45859.

It is not an unprimeable number, because it can be changed into a prime (45853) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 69 + ... + 310.

2⁴⁵⁸⁵⁹ is an apocalyptic number.

45859 is a deficient number, since it is larger than the sum of its proper divisors (4681).

45859 is a wasteful number, since it uses less digits than its factorization.

45859 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401 (or 390 counting only the distinct ones).

The product of its digits is 7200, while the sum is 31.

The square root of 45859 is about 214.1471456732. The cubic root of 45859 is about 35.7938318389.

It can be divided in two parts, 4 and 5859, that multiplied together give a triangular number (23436 = T₂₁₆).

The spelling of 45859 in words is "forty-five thousand, eight hundred fifty-nine".