82988334 has 96 divisors (see below), whose sum is σ = 218524320. Its totient is φ = 23189760.

The previous prime is 82988327. The next prime is 82988357. The reversal of 82988334 is 43388928.

It is a self number, because there is not a number n which added to its sum of digits gives 82988334.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 84454 + ... + 85430.

It is an arithmetic number, because the mean of its divisors is an integer number (2276295).

Almost surely, 2^82988334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82988334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109262160).

82988334 is an abundant number, since it is smaller than the sum of its proper divisors (135535986).

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

82988334 is a wasteful number, since it uses less digits than its factorization.

82988334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1023 (or 1006 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 82988334 is about 9109.7933017166. The cubic root of 82988334 is about 436.1866292737.

The spelling of 82988334 in words is "eighty-two million, nine hundred eighty-eight thousand, three hundred thirty-four".