82570224 has 80 divisors (see below), whose sum is σ = 246412800. Its totient is φ = 23546880.

The previous prime is 82570223. The next prime is 82570249. The reversal of 82570224 is 42207528.

It is a super-4 number, since 4×82570224⁴ (a number of 33 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 82570191 and 82570200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82570223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4377 + ... + 13575.

It is an arithmetic number, because the mean of its divisors is an integer number (3080160).

Almost surely, 2^82570224 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 82570224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123206400).

82570224 is an abundant number, since it is smaller than the sum of its proper divisors (163842576).

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

82570224 is a wasteful number, since it uses less digits than its factorization.

82570224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9238 (or 9232 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 30.

The square root of 82570224 is about 9086.8159439927. The cubic root of 82570224 is about 435.4528669866.

The spelling of 82570224 in words is "eighty-two million, five hundred seventy thousand, two hundred twenty-four".