45846 has 20 divisors (see below), whose sum is σ = 103092. Its totient is φ = 15228.

The previous prime is 45841. The next prime is 45853. The reversal of 45846 is 64854.

45846 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45841) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 21 + ... + 303.

2⁴⁵⁸⁴⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45846, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51546).

45846 is an abundant number, since it is smaller than the sum of its proper divisors (57246).

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

45846 is a wasteful number, since it uses less digits than its factorization.

45846 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 288 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 45846 is about 214.1167905607. The cubic root of 45846 is about 35.7904492692.

The spelling of 45846 in words is "forty-five thousand, eight hundred forty-six".