82934316 has 144 divisors (see below), whose sum is σ = 236527200. Its totient is φ = 24385536.

The previous prime is 82934303. The next prime is 82934317. The reversal of 82934316 is 61343928.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (82934317) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 733876 + ... + 733988.

It is an arithmetic number, because the mean of its divisors is an integer number (1642550).

Almost surely, 2^82934316 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 82934316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118263600).

82934316 is an abundant number, since it is smaller than the sum of its proper divisors (153592884).

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

82934316 is a wasteful number, since it uses less digits than its factorization.

82934316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 203 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 82934316 is about 9106.8279878342. The cubic root of 82934316 is about 436.0919692080.

82934316 divided by its sum of digits (36) gives a triangular number (2303731 = T₂₁₄₆).

The spelling of 82934316 in words is "eighty-two million, nine hundred thirty-four thousand, three hundred sixteen".