83217516 has 48 divisors (see below), whose sum is σ = 212244480. Its totient is φ = 25263360.

The previous prime is 83217503. The next prime is 83217527. The reversal of 83217516 is 61571238.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 256 + ... + 12903.

It is an arithmetic number, because the mean of its divisors is an integer number (4421760).

Almost surely, 2^83217516 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 83217516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106122240).

83217516 is an abundant number, since it is smaller than the sum of its proper divisors (129026964).

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

83217516 is a wasteful number, since it uses less digits than its factorization.

83217516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13214 (or 13212 counting only the distinct ones).

The product of its digits is 10080, while the sum is 33.

The square root of 83217516 is about 9122.3635095298. The cubic root of 83217516 is about 436.5877870327.

The spelling of 83217516 in words is "eighty-three million, two hundred seventeen thousand, five hundred sixteen".