53753 has 6 divisors (see below), whose sum is σ = 62586. Its totient is φ = 46032.

The previous prime is 53731. The next prime is 53759. The reversal of 53753 is 35735.

It can be written as a sum of positive squares in only one way, i.e., 41209 + 12544 = 203^2 + 112^2 .

It is not a de Polignac number, because 53753 - 2¹⁴ = 37369 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 53753.

It is not an unprimeable number, because it can be changed into a prime (53759) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 500 + ... + 597.

It is an arithmetic number, because the mean of its divisors is an integer number (10431).

2⁵³⁷⁵³ is an apocalyptic number.

It is an amenable number.

53753 is a deficient number, since it is larger than the sum of its proper divisors (8833).

53753 is a wasteful number, since it uses less digits than its factorization.

53753 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1111 (or 1104 counting only the distinct ones).

The product of its digits is 1575, while the sum is 23.

The square root of 53753 is about 231.8469322635. The cubic root of 53753 is about 37.7399136832.

The spelling of 53753 in words is "fifty-three thousand, seven hundred fifty-three".