45942 has 32 divisors (see below), whose sum is σ = 107520. Its totient is φ = 12960.

The previous prime is 45893. The next prime is 45943. The reversal of 45942 is 24954.

It is a super-2 number, since 2×45942² = 4221334728, which contains 22 as substring.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 45942.

It is not an unprimeable number, because it can be changed into a prime (45943) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1467 + ... + 1497.

It is an arithmetic number, because the mean of its divisors is an integer number (3360).

2⁴⁵⁹⁴² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45942, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53760).

45942 is an abundant number, since it is smaller than the sum of its proper divisors (61578).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

45942 is a wasteful number, since it uses less digits than its factorization.

45942 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68.

The product of its digits is 1440, while the sum is 24.

The square root of 45942 is about 214.3408500496. The cubic root of 45942 is about 35.8154131898.

The spelling of 45942 in words is "forty-five thousand, nine hundred forty-two".