83636 has 24 divisors (see below), whose sum is σ = 174720. Its totient is φ = 34272.

The previous prime is 83621. The next prime is 83639. The reversal of 83636 is 63638.

It is a Smith number, since the sum of its digits (26) coincides with the sum of the digits of its prime factors.

It is a d-powerful number, because it can be written as 8⁵ + 3⁶ + 6⁴ + 3⁷ + 6⁶ .

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

83636 is a modest number, since divided by 3636 gives 8 as remainder.

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, 761 + ... + 863.

It is an arithmetic number, because the mean of its divisors is an integer number (7280).

2⁸³⁶³⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87360).

83636 is an abundant number, since it is smaller than the sum of its proper divisors (91084).

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

83636 is a wasteful number, since it uses less digits than its factorization.

83636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 141 counting only the distinct ones).

The product of its digits is 2592, while the sum is 26.

The square root of 83636 is about 289.1988934972. The cubic root of 83636 is about 43.7318400822.

The spelling of 83636 in words is "eighty-three thousand, six hundred thirty-six".