83816 has 8 divisors (see below), whose sum is σ = 157170. Its totient is φ = 41904.

The previous prime is 83813. The next prime is 83833. The reversal of 83816 is 61838.

It can be written as a sum of positive squares in only one way, i.e., 62500 + 21316 = 250^2 + 146^2 .

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 a plaindrome in base 14.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 83816.

It is not an unprimeable number, because it can be changed into a prime (83813) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5231 + ... + 5246.

2⁸³⁸¹⁶ is an apocalyptic number.

It is an amenable number.

83816 is a deficient number, since it is larger than the sum of its proper divisors (73354).

83816 is a wasteful number, since it uses less digits than its factorization.

83816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10483 (or 10479 counting only the distinct ones).

The product of its digits is 1152, while the sum is 26.

The square root of 83816 is about 289.5099307450. The cubic root of 83816 is about 43.7631905805.

The spelling of 83816 in words is "eighty-three thousand, eight hundred sixteen".