83216034 has 72 divisors (see below), whose sum is σ = 202810608. Its totient is φ = 24455520.

The previous prime is 83216027. The next prime is 83216083. The reversal of 83216034 is 43061238.

It is a happy number.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 83215989 and 83216007.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 270909 + ... + 271215.

It is an arithmetic number, because the mean of its divisors is an integer number (2816814).

Almost surely, 2^83216034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83216034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101405304).

83216034 is an abundant number, since it is smaller than the sum of its proper divisors (119594574).

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

83216034 is a wasteful number, since it uses less digits than its factorization.

83216034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 83216034 is about 9122.2822802191. The cubic root of 83216034 is about 436.5851953229.

The spelling of 83216034 in words is "eighty-three million, two hundred sixteen thousand, thirty-four".