45825 has 24 divisors (see below), whose sum is σ = 83328. Its totient is φ = 22080.

The previous prime is 45823. The next prime is 45827. The reversal of 45825 is 52854.

It is an interprime number because it is at equal distance from previous prime (45823) and next prime (45827).

It is not a de Polignac number, because 45825 - 2¹ = 45823 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 45795 and 45804.

It is not an unprimeable number, because it can be changed into a prime (45821) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 952 + ... + 998.

It is an arithmetic number, because the mean of its divisors is an integer number (3472).

It is a Proth number, since it is equal to 179 ⋅ 2⁸ + 1 and 179 < 2⁸.

2⁴⁵⁸²⁵ is an apocalyptic number.

It is an amenable number.

45825 is a deficient number, since it is larger than the sum of its proper divisors (37503).

45825 is a wasteful number, since it uses less digits than its factorization.

45825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 68 counting only the distinct ones).

The product of its digits is 1600, while the sum is 24.

The square root of 45825 is about 214.0677462861. The cubic root of 45825 is about 35.7849837672.

The spelling of 45825 in words is "forty-five thousand, eight hundred twenty-five".