82113420 has 96 divisors (see below), whose sum is σ = 239855616. Its totient is φ = 20966400.

The previous prime is 82113379. The next prime is 82113439. The reversal of 82113420 is 2431128.

It is a super-2 number, since 2×82113420² = 13485227488192800, which contains 22 as substring.

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, 243492 + ... + 243828.

It is an arithmetic number, because the mean of its divisors is an integer number (2498496).

Almost surely, 2^82113420 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 82113420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119927808).

82113420 is an abundant number, since it is smaller than the sum of its proper divisors (157742196).

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

82113420 is a wasteful number, since it uses less digits than its factorization.

82113420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 511 (or 509 counting only the distinct ones).

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

The square root of 82113420 is about 9061.6455459260. The cubic root of 82113420 is about 434.6483616168.

Adding to 82113420 its reverse (2431128), we get a palindrome (84544548).

It can be divided in two parts, 821 and 13420, that added together give a palindrome (14241).

The spelling of 82113420 in words is "eighty-two million, one hundred thirteen thousand, four hundred twenty".