45038 has 8 divisors (see below), whose sum is σ = 77232. Its totient is φ = 19296.

The previous prime is 45013. The next prime is 45053. The reversal of 45038 is 83054.

It is a sphenic number, since it is the product of 3 distinct primes.

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

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 45038.

It is an unprimeable number.

45038 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, 1595 + ... + 1622.

It is an arithmetic number, because the mean of its divisors is an integer number (9654).

2⁴⁵⁰³⁸ is an apocalyptic number.

45038 is a deficient number, since it is larger than the sum of its proper divisors (32194).

45038 is a wasteful number, since it uses less digits than its factorization.

45038 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3226.

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 45038 is about 212.2215823143. The cubic root of 45038 is about 35.5789422240.

The spelling of 45038 in words is "forty-five thousand, thirty-eight".