82141320 has 128 divisors (see below), whose sum is σ = 258785280. Its totient is φ = 20832000.

The previous prime is 82141307. The next prime is 82141333. The reversal of 82141320 is 2314128.

It is an interprime number because it is at equal distance from previous prime (82141307) and next prime (82141333).

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, 263965 + ... + 264275.

It is an arithmetic number, because the mean of its divisors is an integer number (2021760).

Almost surely, 2^82141320 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 82141320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129392640).

82141320 is an abundant number, since it is smaller than the sum of its proper divisors (176643960).

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

82141320 is a wasteful number, since it uses less digits than its factorization.

82141320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 82141320 is about 9063.1848706732. The cubic root of 82141320 is about 434.6975834375.

Adding to 82141320 its reverse (2314128), we get a palindrome (84455448).

The spelling of 82141320 in words is "eighty-two million, one hundred forty-one thousand, three hundred twenty".