82840212 has 96 divisors (see below), whose sum is σ = 264364800. Its totient is φ = 21845376.

The previous prime is 82840193. The next prime is 82840223. The reversal of 82840212 is 21204828.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 5614 + ... + 14042.

It is an arithmetic number, because the mean of its divisors is an integer number (2753800).

Almost surely, 2^82840212 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 82840212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132182400).

82840212 is an abundant number, since it is smaller than the sum of its proper divisors (181524588).

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

82840212 is a wasteful number, since it uses less digits than its factorization.

82840212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8462 (or 8454 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 82840212 is about 9101.6598486210. The cubic root of 82840212 is about 435.9269650131.

The spelling of 82840212 in words is "eighty-two million, eight hundred forty thousand, two hundred twelve".