82219392 has 96 divisors (see below), whose sum is σ = 238680000. Its totient is φ = 27165696.

The previous prime is 82219373. The next prime is 82219421. The reversal of 82219392 is 29391228.

It is a tau number, because it is divible by the number of its divisors (96).

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

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

Its product of digits (15552) is a multiple of the sum of its prime factors (648).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 171409 + ... + 171887.

It is an arithmetic number, because the mean of its divisors is an integer number (2486250).

Almost surely, 2^82219392 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 82219392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119340000).

82219392 is an abundant number, since it is smaller than the sum of its proper divisors (156460608).

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

82219392 is a wasteful number, since it uses less digits than its factorization.

82219392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 648 (or 633 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 82219392 is about 9067.4909429235. The cubic root of 82219392 is about 434.8352606474.

The spelling of 82219392 in words is "eighty-two million, two hundred nineteen thousand, three hundred ninety-two".