82814224 has 20 divisors (see below), whose sum is σ = 160735744. Its totient is φ = 41334048.

The previous prime is 82814213. The next prime is 82814231. The reversal of 82814224 is 42241828.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5449 + ... + 13975.

Almost surely, 2^82814224 is an apocalyptic number.

It is an amenable number.

82814224 is a deficient number, since it is larger than the sum of its proper divisors (77921520).

82814224 is a wasteful number, since it uses less digits than its factorization.

82814224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9142 (or 9136 counting only the distinct ones).

The product of its digits is 8192, while the sum is 31.

The square root of 82814224 is about 9100.2320849526. The cubic root of 82814224 is about 435.8813750169.

It can be divided in two parts, 82814 and 224, that added together give a palindrome (83038).

The spelling of 82814224 in words is "eighty-two million, eight hundred fourteen thousand, two hundred twenty-four".