82317480 has 192 divisors, whose sum is σ = 294399360. Its totient is φ = 18031104.

The previous prime is 82317467. The next prime is 82317509. The reversal of 82317480 is 8471328.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1553134 + ... + 1553186.

It is an arithmetic number, because the mean of its divisors is an integer number (1533330).

Almost surely, 2^82317480 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 82317480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147199680).

82317480 is an abundant number, since it is smaller than the sum of its proper divisors (212081880).

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

82317480 is a wasteful number, since it uses less digits than its factorization.

82317480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 82317480 is about 9072.8981036932. The cubic root of 82317480 is about 435.0081118847.

The spelling of 82317480 in words is "eighty-two million, three hundred seventeen thousand, four hundred eighty".