82248192 has 120 divisors (see below), whose sum is σ = 255819564. Its totient is φ = 25288704.

The previous prime is 82248181. The next prime is 82248197. The reversal of 82248192 is 29184228.

It can be written as a sum of positive squares in 2 ways, for example, as 80568576 + 1679616 = 8976^2 + 1296^2 .

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 not an unprimeable number, because it can be changed into a prime (82248197) 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, 59218 + ... + 60590.

Almost surely, 2^82248192 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 82248192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127909782).

82248192 is an abundant number, since it is smaller than the sum of its proper divisors (173571372).

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

82248192 is a wasteful number, since it uses less digits than its factorization.

82248192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1410 (or 1391 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 82248192 is about 9069.0788947941. The cubic root of 82248192 is about 434.8860264228.

The spelling of 82248192 in words is "eighty-two million, two hundred forty-eight thousand, one hundred ninety-two".