45982 has 8 divisors (see below), whose sum is σ = 70056. Its totient is φ = 22632.

The previous prime is 45979. The next prime is 45989. The reversal of 45982 is 28954.

It is a happy number.

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

It is a super-2 number, since 2×45982² = 4228688648, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 45982.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45989) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 28 + ... + 304.

It is an arithmetic number, because the mean of its divisors is an integer number (8757).

2⁴⁵⁹⁸² is an apocalyptic number.

45982 is a deficient number, since it is larger than the sum of its proper divisors (24074).

45982 is a wasteful number, since it uses less digits than its factorization.

45982 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362.

The product of its digits is 2880, while the sum is 28.

The square root of 45982 is about 214.4341390730. The cubic root of 45982 is about 35.8258045597.

Subtracting from 45982 its sum of digits (28), we obtain a palindrome (45954).

The spelling of 45982 in words is "forty-five thousand, nine hundred eighty-two".