82315224 has 128 divisors (see below), whose sum is σ = 250776000. Its totient is φ = 24901632.

The previous prime is 82315223. The next prime is 82315243. The reversal of 82315224 is 42251328.

It is a super-2 number, since 2×82315224² = 13551592204340352, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82315223) 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, 106102 + ... + 106874.

Almost surely, 2^82315224 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 82315224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125388000).

82315224 is an abundant number, since it is smaller than the sum of its proper divisors (168460776).

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

82315224 is a wasteful number, since it uses less digits than its factorization.

82315224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 834 (or 824 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 82315224 is about 9072.7737765250. The cubic root of 82315224 is about 435.0041378917.

The spelling of 82315224 in words is "eighty-two million, three hundred fifteen thousand, two hundred twenty-four".