83016 has 24 divisors (see below), whose sum is σ = 225030. Its totient is φ = 27648.

The previous prime is 83009. The next prime is 83023. The reversal of 83016 is 61038.

It is an interprime number because it is at equal distance from previous prime (83009) and next prime (83023).

It can be written as a sum of positive squares in only one way, i.e., 60516 + 22500 = 246^2 + 150^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (18).

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

It is a plaindrome in base 14 and base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 83016.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 83016.

It is an unprimeable number.

83016 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 505 + ... + 648.

2⁸³⁰¹⁶ is an apocalyptic number.

It is an amenable number.

83016 is an abundant number, since it is smaller than the sum of its proper divisors (142014).

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

83016 is a wasteful number, since it uses less digits than its factorization.

83016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1165 (or 1158 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 83016 is about 288.1249728850. The cubic root of 83016 is about 43.6235094714.

The spelling of 83016 in words is "eighty-three thousand, sixteen".