82363392 has 132 divisors (see below), whose sum is σ = 247375856. Its totient is φ = 27371520.

The previous prime is 82363349. The next prime is 82363409. The reversal of 82363392 is 29336328.

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 an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 248667 + ... + 248997.

Almost surely, 2^82363392 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 82363392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123687928).

82363392 is an abundant number, since it is smaller than the sum of its proper divisors (165012464).

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

82363392 is an equidigital number, since it uses as much as digits as its factorization.

82363392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 336 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

The square root of 82363392 is about 9075.4279237951. The cubic root of 82363392 is about 435.0889710998.

It can be divided in two parts, 8236 and 3392, that added together give a triangular number (11628 = T₁₅₂).

The spelling of 82363392 in words is "eighty-two million, three hundred sixty-three thousand, three hundred ninety-two".