45642 has 8 divisors (see below), whose sum is σ = 91296. Its totient is φ = 15212.

The previous prime is 45641. The next prime is 45659. The reversal of 45642 is 24654.

It is a happy number.

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

45642 is an admirable number.

It is an Ulam number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 45642.

It is not an unprimeable number, because it can be changed into a prime (45641) 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, 3798 + ... + 3809.

It is an arithmetic number, because the mean of its divisors is an integer number (11412).

2⁴⁵⁶⁴² is an apocalyptic number.

45642 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 (45648).

45642 is a wasteful number, since it uses less digits than its factorization.

45642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7612.

The product of its digits is 960, while the sum is 21.

The square root of 45642 is about 213.6398839168. The cubic root of 45642 is about 35.7372849953.

The spelling of 45642 in words is "forty-five thousand, six hundred forty-two".