83736 has 24 divisors (see below), whose sum is σ = 226980. Its totient is φ = 27888.

The previous prime is 83719. The next prime is 83737. The reversal of 83736 is 63738.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83737) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 510 + ... + 653.

2⁸³⁷³⁶ is an apocalyptic number.

It is an amenable number.

83736 is an abundant number, since it is smaller than the sum of its proper divisors (143244).

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

83736 is a wasteful number, since it uses less digits than its factorization.

83736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1175 (or 1168 counting only the distinct ones).

The product of its digits is 3024, while the sum is 27.

The square root of 83736 is about 289.3717332429. The cubic root of 83736 is about 43.7492625726.

The spelling of 83736 in words is "eighty-three thousand, seven hundred thirty-six".