82943784 has 128 divisors (see below), whose sum is σ = 287308800. Its totient is φ = 21539520.

The previous prime is 82943761. The next prime is 82943803. The reversal of 82943784 is 48734928.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14139 + ... + 19125.

It is an arithmetic number, because the mean of its divisors is an integer number (2244600).

Almost surely, 2^82943784 is an apocalyptic number.

82943784 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82943784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143654400).

82943784 is an abundant number, since it is smaller than the sum of its proper divisors (204365016).

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

82943784 is a wasteful number, since it uses less digits than its factorization.

82943784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5020 (or 5010 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 82943784 is about 9107.3478027360. The cubic root of 82943784 is about 436.1085637126.

Subtracting from 82943784 its reverse (48734928), we obtain a triangular number (34208856 = T₈₂₇₁).

The spelling of 82943784 in words is "eighty-two million, nine hundred forty-three thousand, seven hundred eighty-four".