82822248 has 24 divisors (see below), whose sum is σ = 224310450. Its totient is φ = 27607392.

The previous prime is 82822247. The next prime is 82822277. The reversal of 82822248 is 84222828.

It can be written as a sum of positive squares in only one way, i.e., 82410084 + 412164 = 9078^2 + 642^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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 (82822247) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 575083 + ... + 575226.

Almost surely, 2^82822248 is an apocalyptic number.

It is an amenable number.

82822248 is an abundant number, since it is smaller than the sum of its proper divisors (141488202).

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

82822248 is a wasteful number, since it uses less digits than its factorization.

82822248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1150321 (or 1150314 counting only the distinct ones).

The product of its digits is 32768, while the sum is 36.

The square root of 82822248 is about 9100.6729421510. The cubic root of 82822248 is about 435.8954523055.

The spelling of 82822248 in words is "eighty-two million, eight hundred twenty-two thousand, two hundred forty-eight".