45753 has 8 divisors (see below), whose sum is σ = 62016. Its totient is φ = 30000.

The previous prime is 45751. The next prime is 45757. The reversal of 45753 is 35754.

45753 is a nontrivial binomial coefficient, being equal to C(303, 2).

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

It is not a de Polignac number, because 45753 - 2¹ = 45751 is a prime.

It is a plaindrome in base 12.

It is a nialpdrome in base 15.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 45753.

It is not an unprimeable number, because it can be changed into a prime (45751) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 228 + ... + 378.

It is an arithmetic number, because the mean of its divisors is an integer number (7752).

2⁴⁵⁷⁵³ is an apocalyptic number.

45753 is the 302-nd triangular number.

It is an amenable number.

45753 is a deficient number, since it is larger than the sum of its proper divisors (16263).

45753 is a wasteful number, since it uses less digits than its factorization.

45753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255.

The product of its digits is 2100, while the sum is 24.

The square root of 45753 is about 213.8995091158. The cubic root of 45753 is about 35.7662322166.

Subtracting from 45753 its reverse (35754), we obtain a palindrome (9999).

The spelling of 45753 in words is "forty-five thousand, seven hundred fifty-three".