83656 has 8 divisors (see below), whose sum is σ = 156870. Its totient is φ = 41824.

The previous prime is 83653. The next prime is 83663. The reversal of 83656 is 65638.

It can be written as a sum of positive squares in only one way, i.e., 54756 + 28900 = 234^2 + 170^2 .

It is a tau number, because it is divible by the number of its divisors (8).

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

It is not an unprimeable number, because it can be changed into a prime (83653) 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 as a sum of consecutive naturals, namely, 5221 + ... + 5236.

2⁸³⁶⁵⁶ is an apocalyptic number.

It is an amenable number.

83656 is a deficient number, since it is larger than the sum of its proper divisors (73214).

83656 is a wasteful number, since it uses less digits than its factorization.

83656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10463 (or 10459 counting only the distinct ones).

The product of its digits is 4320, while the sum is 28.

The square root of 83656 is about 289.2334697092. The cubic root of 83656 is about 43.7353256908.

The spelling of 83656 in words is "eighty-three thousand, six hundred fifty-six".