82817382 has 32 divisors (see below), whose sum is σ = 170774784. Its totient is φ = 26762400.

The previous prime is 82817363. The next prime is 82817401. The reversal of 82817382 is 28371828.

It is an interprime number because it is at equal distance from previous prime (82817363) and next prime (82817401).

It is a super-2 number, since 2×82817382² = 13717437522667848, which contains 22 as substring.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a self number, because there is not a number n which added to its sum of digits gives 82817382.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24393 + ... + 27579.

It is an arithmetic number, because the mean of its divisors is an integer number (5336712).

Almost surely, 2^82817382 is an apocalyptic number.

82817382 is an abundant number, since it is smaller than the sum of its proper divisors (87957402).

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

82817382 is a wasteful number, since it uses less digits than its factorization.

82817382 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3324.

The product of its digits is 43008, while the sum is 39.

The square root of 82817382 is about 9100.4055953567. The cubic root of 82817382 is about 435.8869155139.

The spelling of 82817382 in words is "eighty-two million, eight hundred seventeen thousand, three hundred eighty-two".