82693224 has 80 divisors (see below), whose sum is σ = 237946500. Its totient is φ = 26811648.

The previous prime is 82693183. The next prime is 82693243. The reversal of 82693224 is 42239628.

It can be written as a sum of positive squares in 2 ways, for example, as 81324324 + 1368900 = 9018^2 + 1170^2 .

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 an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 22252 + ... + 25700.

Almost surely, 2^82693224 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 82693224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118973250).

82693224 is an abundant number, since it is smaller than the sum of its proper divisors (155253276).

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

82693224 is a wasteful number, since it uses less digits than its factorization.

82693224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3504 (or 3491 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 82693224 is about 9093.5814726652. The cubic root of 82693224 is about 435.6689825410.

The spelling of 82693224 in words is "eighty-two million, six hundred ninety-three thousand, two hundred twenty-four".