45032 has 16 divisors (see below), whose sum is σ = 91140. Its totient is φ = 20736.

The previous prime is 45013. The next prime is 45053. The reversal of 45032 is 23054.

It can be written as a sum of positive squares in 2 ways, for example, as 37636 + 7396 = 194^2 + 86^2 .

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

It is a nialpdrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 44998 and 45016.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 113 + ... + 320.

2⁴⁵⁰³² is an apocalyptic number.

It is an amenable number.

45032 is an abundant number, since it is smaller than the sum of its proper divisors (46108).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45570).

45032 is a wasteful number, since it uses less digits than its factorization.

45032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 14.

The square root of 45032 is about 212.2074456752. The cubic root of 45032 is about 35.5773622017.

Adding to 45032 its reverse (23054), we get a palindrome (68086).

It can be divided in two parts, 450 and 32, that multiplied together give a square (14400 = 120²).

The spelling of 45032 in words is "forty-five thousand, thirty-two".