45742 has 4 divisors (see below), whose sum is σ = 68616. Its totient is φ = 22870.

The previous prime is 45737. The next prime is 45751. The reversal of 45742 is 24754.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 24754 = 2 ⋅12377.

It is a Smith number, since the sum of its digits (22) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a plaindrome in base 12.

It is a congruent number.

It is an unprimeable number.

45742 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 as a sum of consecutive naturals, namely, 11434 + ... + 11437.

It is an arithmetic number, because the mean of its divisors is an integer number (17154).

2⁴⁵⁷⁴² is an apocalyptic number.

45742 is a deficient number, since it is larger than the sum of its proper divisors (22874).

45742 is a wasteful number, since it uses less digits than its factorization.

45742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22873.

The product of its digits is 1120, while the sum is 22.

The square root of 45742 is about 213.8737945612. The cubic root of 45742 is about 35.7633656644.

It can be divided in two parts, 45 and 742, that added together give a palindrome (787).

The spelling of 45742 in words is "forty-five thousand, seven hundred forty-two".