82345212 has 72 divisors (see below), whose sum is σ = 221837616. Its totient is φ = 25665024.

The previous prime is 82345201. The next prime is 82345223. The reversal of 82345212 is 21254328.

It is an interprime number because it is at equal distance from previous prime (82345201) and next prime (82345223).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 120223 + ... + 120905.

It is an arithmetic number, because the mean of its divisors is an integer number (3081078).

Almost surely, 2^82345212 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 82345212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110918808).

82345212 is an abundant number, since it is smaller than the sum of its proper divisors (139492404).

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

82345212 is a wasteful number, since it uses less digits than its factorization.

82345212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 907 (or 902 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 82345212 is about 9074.4262628554. The cubic root of 82345212 is about 435.0569564739.

The spelling of 82345212 in words is "eighty-two million, three hundred forty-five thousand, two hundred twelve".