45836 has 12 divisors (see below), whose sum is σ = 91728. Its totient is φ = 19632.

The previous prime is 45833. The next prime is 45841. The reversal of 45836 is 63854.

45836 is an admirable number.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (45833) 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, 791 + ... + 846.

It is an arithmetic number, because the mean of its divisors is an integer number (7644).

2⁴⁵⁸³⁶ is an apocalyptic number.

It is an amenable number.

45836 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).

45836 is a wasteful number, since it uses less digits than its factorization.

45836 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1648 (or 1646 counting only the distinct ones).

The product of its digits is 2880, while the sum is 26.

The square root of 45836 is about 214.0934375454. The cubic root of 45836 is about 35.7878468574.

It can be divided in two parts, 458 and 36, that added together give a palindrome (494).

The spelling of 45836 in words is "forty-five thousand, eight hundred thirty-six".