83638 has 16 divisors (see below), whose sum is σ = 138240. Its totient is φ = 37800.

The previous prime is 83621. The next prime is 83639.

83638 is nontrivially palindromic in base 10.

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83639) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1143 + ... + 1213.

It is an arithmetic number, because the mean of its divisors is an integer number (8640).

2⁸³⁶³⁸ is an apocalyptic number.

83638 is a deficient number, since it is larger than the sum of its proper divisors (54602).

83638 is a wasteful number, since it uses less digits than its factorization.

83638 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123.

The product of its digits is 3456, while the sum is 28.

The square root of 83638 is about 289.2023513044. The cubic root of 83638 is about 43.7321886681.

The spelling of 83638 in words is "eighty-three thousand, six hundred thirty-eight".