82381376 has 112 divisors (see below), whose sum is σ = 207507840. Its totient is φ = 31518720.

The previous prime is 82381367. The next prime is 82381379. The reversal of 82381376 is 67318328.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×82381376² = 13573382223306752, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (82381379) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 359630 + ... + 359858.

Almost surely, 2^82381376 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 82381376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103753920).

82381376 is an abundant number, since it is smaller than the sum of its proper divisors (125126464).

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

82381376 is a wasteful number, since it uses less digits than its factorization.

82381376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 322 counting only the distinct ones).

The product of its digits is 48384, while the sum is 38.

The square root of 82381376 is about 9076.4186769893. The cubic root of 82381376 is about 435.1206359388.

The spelling of 82381376 in words is "eighty-two million, three hundred eighty-one thousand, three hundred seventy-six".