82248820 has 24 divisors (see below), whose sum is σ = 173280744. Its totient is φ = 32793216.

The previous prime is 82248811. The next prime is 82248823. The reversal of 82248820 is 2884228.

It can be written as a sum of positive squares in 4 ways, for example, as 7806436 + 74442384 = 2794^2 + 8628^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82248823) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 147 + ... + 12826.

It is an arithmetic number, because the mean of its divisors is an integer number (7220031).

Almost surely, 2^82248820 is an apocalyptic number.

It is an amenable number.

82248820 is an abundant number, since it is smaller than the sum of its proper divisors (91031924).

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

82248820 is a wasteful number, since it uses less digits than its factorization.

82248820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13299 (or 13297 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 34.

The square root of 82248820 is about 9069.1135178693. The cubic root of 82248820 is about 434.8871332667.

The spelling of 82248820 in words is "eighty-two million, two hundred forty-eight thousand, eight hundred twenty".