82645 has 4 divisors (see below), whose sum is σ = 99180. Its totient is φ = 66112.

The previous prime is 82633. The next prime is 82651. The reversal of 82645 is 54628.

82645 is nontrivially palindromic in base 6.

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 54756 + 27889 = 234^2 + 167^2 .

It is a cyclic number.

It is not a de Polignac number, because 82645 - 2⁵ = 82613 is a prime.

It is a d-powerful number, because it can be written as 8² + 2¹⁶ + 6² + 4⁷ + 5⁴ .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8260 + ... + 8269.

It is an arithmetic number, because the mean of its divisors is an integer number (24795).

2⁸²⁶⁴⁵ is an apocalyptic number.

It is an amenable number.

82645 is a deficient number, since it is larger than the sum of its proper divisors (16535).

82645 is a wasteful number, since it uses less digits than its factorization.

82645 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16534.

The product of its digits is 1920, while the sum is 25.

The square root of 82645 is about 287.4804341168. The cubic root of 82645 is about 43.5584276744.

It can be divided in two parts, 82 and 645, that added together give a palindrome (727).

The spelling of 82645 in words is "eighty-two thousand, six hundred forty-five".