82253 has 4 divisors (see below), whose sum is σ = 83328. Its totient is φ = 81180.

The previous prime is 82241. The next prime is 82261. The reversal of 82253 is 35228.

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 82253 - 2⁴ = 82237 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 82253.

It is not an unprimeable number, because it can be changed into a prime (82223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 413 + ... + 578.

It is an arithmetic number, because the mean of its divisors is an integer number (20832).

2⁸²²⁵³ is an apocalyptic number.

82253 is a gapful number since it is divisible by the number (83) formed by its first and last digit.

It is an amenable number.

82253 is a deficient number, since it is larger than the sum of its proper divisors (1075).

82253 is an equidigital number, since it uses as much as digits as its factorization.

82253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1074.

The product of its digits is 480, while the sum is 20.

The square root of 82253 is about 286.7978382066. The cubic root of 82253 is about 43.4894500333.

It can be divided in two parts, 8225 and 3, that added together give a palindrome (8228).

The spelling of 82253 in words is "eighty-two thousand, two hundred fifty-three".