45625 has 10 divisors (see below), whose sum is σ = 57794. Its totient is φ = 36000.

The previous prime is 45613. The next prime is 45631. The reversal of 45625 is 52654.

45625 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 5 ways, for example, as 16384 + 29241 = 128^2 + 171^2 .

It is not a de Polignac number, because 45625 - 2⁷ = 45497 is a prime.

It is an Ulam number.

It is a Duffinian number.

45625 is a lucky number.

It is a plaindrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 45596 and 45605.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 589 + ... + 661.

2⁴⁵⁶²⁵ is an apocalyptic number.

It is an amenable number.

45625 is a deficient number, since it is larger than the sum of its proper divisors (12169).

45625 is an frugal number, since it uses more digits than its factorization.

45625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 78 counting only the distinct ones).

The product of its digits is 1200, while the sum is 22.

The square root of 45625 is about 213.6000936329. The cubic root of 45625 is about 35.7328474941.

It can be divided in two parts, 4 and 5625, that multiplied together give a square (22500 = 150²).

The spelling of 45625 in words is "forty-five thousand, six hundred twenty-five".