83753 has 4 divisors (see below), whose sum is σ = 85188. Its totient is φ = 82320.

The previous prime is 83737. The next prime is 83761. The reversal of 83753 is 35738.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 44944 + 38809 = 212^2 + 197^2 .

It is a cyclic number.

It is not a de Polignac number, because 83753 - 2⁴ = 83737 is a prime.

It is a Duffinian number.

It is a plaindrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83773) 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, 626 + ... + 747.

It is an arithmetic number, because the mean of its divisors is an integer number (21297).

2⁸³⁷⁵³ is an apocalyptic number.

It is an amenable number.

83753 is a deficient number, since it is larger than the sum of its proper divisors (1435).

83753 is a wasteful number, since it uses less digits than its factorization.

83753 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1434.

The product of its digits is 2520, while the sum is 26.

The square root of 83753 is about 289.4011057339. The cubic root of 83753 is about 43.7522230163.

The spelling of 83753 in words is "eighty-three thousand, seven hundred fifty-three".