82363904 has 100 divisors (see below), whose sum is σ = 194848764. Its totient is φ = 34771968.

The previous prime is 82363867. The next prime is 82363907. The reversal of 82363904 is 40936328.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82363907) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1229279 + ... + 1229345.

Almost surely, 2^82363904 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 82363904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97424382).

82363904 is an abundant number, since it is smaller than the sum of its proper divisors (112484860).

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

82363904 is an frugal number, since it uses more digits than its factorization.

82363904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 35.

The square root of 82363904 is about 9075.4561317875. The cubic root of 82363904 is about 435.0898726537.

The spelling of 82363904 in words is "eighty-two million, three hundred sixty-three thousand, nine hundred four".