82635 has 16 divisors (see below), whose sum is σ = 151296. Its totient is φ = 37728.

The previous prime is 82633. The next prime is 82651. The reversal of 82635 is 53628.

It is not a de Polignac number, because 82635 - 2¹ = 82633 is a prime.

82635 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (82633) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 289 + ... + 498.

It is an arithmetic number, because the mean of its divisors is an integer number (9456).

2⁸²⁶³⁵ is an apocalyptic number.

82635 is a deficient number, since it is larger than the sum of its proper divisors (68661).

82635 is a wasteful number, since it uses less digits than its factorization.

82635 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 802.

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

The square root of 82635 is about 287.4630411027. The cubic root of 82635 is about 43.5566707548.

It can be divided in two parts, 826 and 35, that added together give a triangular number (861 = T₄₁).

The spelling of 82635 in words is "eighty-two thousand, six hundred thirty-five".