45996 has 12 divisors (see below), whose sum is σ = 107352. Its totient is φ = 15328.

The previous prime is 45989. The next prime is 46021. The reversal of 45996 is 69954.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (12).

It is a nialpdrome in base 15.

It is an unprimeable number.

45996 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1905 + ... + 1928.

It is an arithmetic number, because the mean of its divisors is an integer number (8946).

2⁴⁵⁹⁹⁶ is an apocalyptic number.

It is an amenable number.

45996 is an abundant number, since it is smaller than the sum of its proper divisors (61356).

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 (53676).

45996 is a wasteful number, since it uses less digits than its factorization.

45996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3840 (or 3838 counting only the distinct ones).

The product of its digits is 9720, while the sum is 33.

The square root of 45996 is about 214.4667806445. The cubic root of 45996 is about 35.8294401155.

It can be divided in two parts, 459 and 96, that added together give a palindrome (555).

The spelling of 45996 in words is "forty-five thousand, nine hundred ninety-six".