45743 has 4 divisors (see below), whose sum is σ = 46200. Its totient is φ = 45288.

The previous prime is 45737. The next prime is 45751. The reversal of 45743 is 34754.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 34754 = 2 ⋅17377.

It is a cyclic number.

It is not a de Polignac number, because 45743 - 2¹² = 41647 is a prime.

It is a Duffinian number.

It is a plaindrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45763) 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, 5 + ... + 302.

It is an arithmetic number, because the mean of its divisors is an integer number (11550).

2⁴⁵⁷⁴³ is an apocalyptic number.

45743 is a deficient number, since it is larger than the sum of its proper divisors (457).

45743 is a wasteful number, since it uses less digits than its factorization.

45743 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456.

The product of its digits is 1680, while the sum is 23.

The square root of 45743 is about 213.8761323757. The cubic root of 45743 is about 35.7636262790.

The spelling of 45743 in words is "forty-five thousand, seven hundred forty-three".