82423224 has 128 divisors (see below), whose sum is σ = 249480000. Its totient is φ = 25062912.

The previous prime is 82423223. The next prime is 82423337. The reversal of 82423224 is 42232428.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82423223) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 418294 + ... + 418490.

Almost surely, 2^82423224 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 82423224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124740000).

82423224 is an abundant number, since it is smaller than the sum of its proper divisors (167056776).

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

82423224 is a wasteful number, since it uses less digits than its factorization.

82423224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 364 counting only the distinct ones).

The product of its digits is 6144, while the sum is 27.

The square root of 82423224 is about 9078.7236988467. The cubic root of 82423224 is about 435.1943008328.

The spelling of 82423224 in words is "eighty-two million, four hundred twenty-three thousand, two hundred twenty-four".