82525248 has 168 divisors, whose sum is σ = 259616448. Its totient is φ = 24910848.

The previous prime is 82525243. The next prime is 82525249. The reversal of 82525248 is 84252528.

82525248 is a `hidden beast` number, since 82 + 52 + 524 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82525243) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 771211 + ... + 771317.

It is an arithmetic number, because the mean of its divisors is an integer number (1545336).

Almost surely, 2^82525248 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 82525248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129808224).

82525248 is an abundant number, since it is smaller than the sum of its proper divisors (177091200).

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

82525248 is a wasteful number, since it uses less digits than its factorization.

82525248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 228 counting only the distinct ones).

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

The square root of 82525248 is about 9084.3408126292. The cubic root of 82525248 is about 435.3737889032.

The spelling of 82525248 in words is "eighty-two million, five hundred twenty-five thousand, two hundred forty-eight".