82393344 has 108 divisors (see below), whose sum is σ = 259236432. Its totient is φ = 24960000.

The previous prime is 82393343. The next prime is 82393349. The reversal of 82393344 is 44339328.

It is a happy number.

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.

It is a junction number, because it is equal to n+sod(n) for n = 82393299 and 82393308.

It is not an unprimeable number, because it can be changed into a prime (82393343) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23719 + ... + 26969.

Almost surely, 2^82393344 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 82393344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129618216).

82393344 is an abundant number, since it is smaller than the sum of its proper divisors (176843088).

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

82393344 is a wasteful number, since it uses less digits than its factorization.

82393344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3284 (or 3267 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The square root of 82393344 is about 9077.0779439201. The cubic root of 82393344 is about 435.1417057156.

The spelling of 82393344 in words is "eighty-two million, three hundred ninety-three thousand, three hundred forty-four".