45838 has 16 divisors (see below), whose sum is σ = 77616. Its totient is φ = 20160.

The previous prime is 45833. The next prime is 45841. The reversal of 45838 is 83854.

45838 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×45838² = 4202244488, which contains 22 as substring.

It is an Ulam number.

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.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1045 + ... + 1087.

It is an arithmetic number, because the mean of its divisors is an integer number (4851).

2⁴⁵⁸³⁸ is an apocalyptic number.

45838 is a deficient number, since it is larger than the sum of its proper divisors (31778).

45838 is a wasteful number, since it uses less digits than its factorization.

45838 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99.

The product of its digits is 3840, while the sum is 28.

The square root of 45838 is about 214.0981083522. The cubic root of 45838 is about 35.7883673700.

It can be divided in two parts, 458 and 38, that added together give a triangular number (496 = T₃₁).

The spelling of 45838 in words is "forty-five thousand, eight hundred thirty-eight".