45832 has 16 divisors (see below), whose sum is σ = 91260. Its totient is φ = 21504.

The previous prime is 45827. The next prime is 45833. The reversal of 45832 is 23854.

It can be written as a sum of positive squares in 2 ways, for example, as 45796 + 36 = 214^2 + 6^2 .

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45833) by changing a digit.

45832 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 33 + ... + 304.

2⁴⁵⁸³² is an apocalyptic number.

It is an amenable number.

45832 is a deficient number, since it is larger than the sum of its proper divisors (45428).

45832 is a wasteful number, since it uses less digits than its factorization.

45832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 356 counting only the distinct ones).

The product of its digits is 960, while the sum is 22.

The square root of 45832 is about 214.0840956260. The cubic root of 45832 is about 35.7868057867.

Adding to 45832 its sum of digits (22), we get a palindrome (45854).

The spelling of 45832 in words is "forty-five thousand, eight hundred thirty-two".