45125 has 12 divisors (see below), whose sum is σ = 59436. Its totient is φ = 34200.

The previous prime is 45121. The next prime is 45127. The reversal of 45125 is 52154.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 1444 + 43681 = 38^2 + 209^2 .

It is not a de Polignac number, because 45125 - 2² = 45121 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 (45121) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2366 + ... + 2384.

It is an arithmetic number, because the mean of its divisors is an integer number (4953).

2⁴⁵¹²⁵ is an apocalyptic number.

It is an amenable number.

45125 is a deficient number, since it is larger than the sum of its proper divisors (14311).

45125 is an equidigital number, since it uses as much as digits as its factorization.

45125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53 (or 24 counting only the distinct ones).

The product of its digits is 200, while the sum is 17.

The square root of 45125 is about 212.4264578625. The cubic root of 45125 is about 35.6018367945.

Adding to 45125 its reverse (52154), we get a palindrome (97279).

It can be divided in two parts, 45 and 125, that multiplied together give a square (5625 = 75²).

The spelling of 45125 in words is "forty-five thousand, one hundred twenty-five".