82822416 has 40 divisors (see below), whose sum is σ = 214298784. Its totient is φ = 27563520.

The previous prime is 82822409. The next prime is 82822417. The reversal of 82822416 is 61422828.

It is a happy number.

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 (82822417) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 45720 + ... + 47496.

Almost surely, 2^82822416 is an apocalyptic number.

It is an amenable number.

82822416 is an abundant number, since it is smaller than the sum of its proper divisors (131476368).

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

82822416 is a wasteful number, since it uses less digits than its factorization.

82822416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2759 (or 2753 counting only the distinct ones).

The product of its digits is 12288, while the sum is 33.

The square root of 82822416 is about 9100.6821722330. The cubic root of 82822416 is about 435.8957470347.

It can be divided in two parts, 82822 and 416, that added together give a palindrome (83238).

The spelling of 82822416 in words is "eighty-two million, eight hundred twenty-two thousand, four hundred sixteen".