82653 has 4 divisors (see below), whose sum is σ = 110208. Its totient is φ = 55100.

The previous prime is 82651. The next prime is 82657. The reversal of 82653 is 35628.

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 82653 - 2¹ = 82651 is a prime.

It is an Ulam number.

It is a D-number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82651) 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, 13773 + ... + 13778.

It is an arithmetic number, because the mean of its divisors is an integer number (27552).

2⁸²⁶⁵³ is an apocalyptic number.

It is an amenable number.

82653 is a deficient number, since it is larger than the sum of its proper divisors (27555).

82653 is a wasteful number, since it uses less digits than its factorization.

82653 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27554.

The product of its digits is 1440, while the sum is 24.

The square root of 82653 is about 287.4943477705. The cubic root of 82653 is about 43.5598331080.

The spelling of 82653 in words is "eighty-two thousand, six hundred fifty-three".