45858 has 8 divisors (see below), whose sum is σ = 91728. Its totient is φ = 15284.

The previous prime is 45853. The next prime is 45863. The reversal of 45858 is 85854.

It is an interprime number because it is at equal distance from previous prime (45853) and next prime (45863).

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

45858 is an admirable number.

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

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (45853) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3816 + ... + 3827.

It is an arithmetic number, because the mean of its divisors is an integer number (11466).

2⁴⁵⁸⁵⁸ is an apocalyptic number.

45858 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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 (45864).

45858 is a wasteful number, since it uses less digits than its factorization.

45858 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7648.

The product of its digits is 6400, while the sum is 30.

The square root of 45858 is about 214.1448108174. The cubic root of 45858 is about 35.7935716639.

It can be divided in two parts, 45 and 858, that added together give a triangular number (903 = T₄₂).

The spelling of 45858 in words is "forty-five thousand, eight hundred fifty-eight".