82753 has 4 divisors (see below), whose sum is σ = 90288. Its totient is φ = 75220.

The previous prime is 82729. The next prime is 82757. The reversal of 82753 is 35728.

82753 is nontrivially palindromic in base 16.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 82753 - 2⁵ = 82721 is a prime.

It is an Ulam number.

It is a d-powerful number, because it can be written as 8 + 2⁵ + 7⁴ + 5⁷ + 3⁷ .

It is a plaindrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (82757) 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, 3751 + ... + 3772.

It is an arithmetic number, because the mean of its divisors is an integer number (22572).

2⁸²⁷⁵³ is an apocalyptic number.

It is an amenable number.

82753 is a deficient number, since it is larger than the sum of its proper divisors (7535).

82753 is a wasteful number, since it uses less digits than its factorization.

82753 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7534.

The product of its digits is 1680, while the sum is 25.

The square root of 82753 is about 287.6682116606. The cubic root of 82753 is about 43.5773933811.

Subtracting from 82753 its sum of digits (25), we obtain a palindrome (82728).

The spelling of 82753 in words is "eighty-two thousand, seven hundred fifty-three".