82638 has 12 divisors (see below), whose sum is σ = 179088. Its totient is φ = 27540.

The previous prime is 82633. The next prime is 82651. The reversal of 82638 is 83628.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

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 82638.

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

82638 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2278 + ... + 2313.

It is an arithmetic number, because the mean of its divisors is an integer number (14924).

2⁸²⁶³⁸ is an apocalyptic number.

82638 is an abundant number, since it is smaller than the sum of its proper divisors (96450).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

82638 is a wasteful number, since it uses less digits than its factorization.

82638 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4599 (or 4596 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 82638 is about 287.4682591174. The cubic root of 82638 is about 43.5571978456.

Subtracting 82638 from its reverse (83628), we obtain a triangular number (990 = T₄₄).

The spelling of 82638 in words is "eighty-two thousand, six hundred thirty-eight".