82393938 has 48 divisors (see below), whose sum is σ = 197525952. Its totient is φ = 24612000.

The previous prime is 82393933. The next prime is 82393957. The reversal of 82393938 is 83939328.

It is a super-2 number, since 2×82393938² = 13577522038295688, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 82393893 and 82393902.

It is not an unprimeable number, because it can be changed into a prime (82393933) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11128 + ... + 16988.

It is an arithmetic number, because the mean of its divisors is an integer number (4115124).

Almost surely, 2^82393938 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82393938, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98762976).

82393938 is an abundant number, since it is smaller than the sum of its proper divisors (115132014).

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

82393938 is a wasteful number, since it uses less digits than its factorization.

82393938 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5951 (or 5948 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The square root of 82393938 is about 9077.1106636418. The cubic root of 82393938 is about 435.1427514050.

The spelling of 82393938 in words is "eighty-two million, three hundred ninety-three thousand, nine hundred thirty-eight".