82553 has 4 divisors (see below), whose sum is σ = 85248. Its totient is φ = 79860.

The previous prime is 82549. The next prime is 82559. The reversal of 82553 is 35528.

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 82553 - 2² = 82549 is a prime.

It is a d-powerful number, because it can be written as 8² + 2¹² + 5² + 5⁷ + 3⁵ .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (82559) 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, 1301 + ... + 1362.

It is an arithmetic number, because the mean of its divisors is an integer number (21312).

2⁸²⁵⁵³ is an apocalyptic number.

It is an amenable number.

82553 is a deficient number, since it is larger than the sum of its proper divisors (2695).

82553 is a wasteful number, since it uses less digits than its factorization.

82553 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2694.

The product of its digits is 1200, while the sum is 23.

The square root of 82553 is about 287.3203786716. The cubic root of 82553 is about 43.5422586653.

It can be divided in two parts, 825 and 53, that added together give a palindrome (878).

The spelling of 82553 in words is "eighty-two thousand, five hundred fifty-three".