82141224 has 64 divisors (see below), whose sum is σ = 231768000. Its totient is φ = 24030720.

The previous prime is 82141219. The next prime is 82141231. The reversal of 82141224 is 42214128.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is a junction number, because it is equal to n+sod(n) for n = 82141194 and 82141203.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2292 + ... + 13020.

It is an arithmetic number, because the mean of its divisors is an integer number (3621375).

Almost surely, 2^82141224 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 82141224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115884000).

82141224 is an abundant number, since it is smaller than the sum of its proper divisors (149626776).

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

82141224 is a wasteful number, since it uses less digits than its factorization.

82141224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10778 (or 10774 counting only the distinct ones).

The product of its digits is 1024, while the sum is 24.

The square root of 82141224 is about 9063.1795745202. The cubic root of 82141224 is about 434.6974140912.

The spelling of 82141224 in words is "eighty-two million, one hundred forty-one thousand, two hundred twenty-four".