82891224 has 192 divisors, whose sum is σ = 262080000. Its totient is φ = 23452416.

The previous prime is 82891223. The next prime is 82891231. The reversal of 82891224 is 42219828.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 (82891223) 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 47 ways as a sum of consecutive naturals, for example, 1049217 + ... + 1049295.

It is an arithmetic number, because the mean of its divisors is an integer number (1365000).

Almost surely, 2^82891224 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 82891224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131040000).

82891224 is an abundant number, since it is smaller than the sum of its proper divisors (179188776).

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

82891224 is a wasteful number, since it uses less digits than its factorization.

82891224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 175 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 82891224 is about 9104.4617633334. The cubic root of 82891224 is about 436.0164261690.

The spelling of 82891224 in words is "eighty-two million, eight hundred ninety-one thousand, two hundred twenty-four".