45738 has 48 divisors (see below), whose sum is σ = 127680. Its totient is φ = 11880.

The previous prime is 45737. The next prime is 45751. The reversal of 45738 is 83754.

45738 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

Its product of digits (3360) is a multiple of the sum of its prime factors (40).

It is a nialpdrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (45737) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4153 + ... + 4163.

It is an arithmetic number, because the mean of its divisors is an integer number (2660).

2⁴⁵⁷³⁸ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45738, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63840).

45738 is an abundant number, since it is smaller than the sum of its proper divisors (81942).

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

45738 is a wasteful number, since it uses less digits than its factorization.

45738 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40 (or 23 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 45738 is about 213.8644430475. The cubic root of 45738 is about 35.7623231678.

The spelling of 45738 in words is "forty-five thousand, seven hundred thirty-eight".