82245528 has 96 divisors (see below), whose sum is σ = 238680000. Its totient is φ = 25507008.

The previous prime is 82245517. The next prime is 82245571. The reversal of 82245528 is 82554228.

82245528 is a `hidden beast` number, since 82 + 24 + 552 + 8 = 666.

It is a super-3 number, since 3×82245528³ (a number of 25 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 82245492 and 82245501.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80203 + ... + 81221.

It is an arithmetic number, because the mean of its divisors is an integer number (2486250).

Almost surely, 2^82245528 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 82245528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119340000).

82245528 is an abundant number, since it is smaller than the sum of its proper divisors (156434472).

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

82245528 is a wasteful number, since it uses less digits than its factorization.

82245528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1109 (or 1102 counting only the distinct ones).

The product of its digits is 51200, while the sum is 36.

The square root of 82245528 is about 9068.9320209162. The cubic root of 82245528 is about 434.8813310860.

The spelling of 82245528 in words is "eighty-two million, two hundred forty-five thousand, five hundred twenty-eight".