82617248 has 48 divisors (see below), whose sum is σ = 189423360. Its totient is φ = 34734336.

The previous prime is 82617221. The next prime is 82617253. The reversal of 82617248 is 84271628.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8393 + ... + 15351.

It is an arithmetic number, because the mean of its divisors is an integer number (3946320).

Almost surely, 2^82617248 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 82617248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94711680).

82617248 is an abundant number, since it is smaller than the sum of its proper divisors (106806112).

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

82617248 is a wasteful number, since it uses less digits than its factorization.

82617248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7029 (or 7021 counting only the distinct ones).

The product of its digits is 43008, while the sum is 38.

The square root of 82617248 is about 9089.4030607076. The cubic root of 82617248 is about 435.5355152209.

The spelling of 82617248 in words is "eighty-two million, six hundred seventeen thousand, two hundred forty-eight".