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82331 = 1729167
BaseRepresentation
bin10100000110011011
311011221022
4110012123
510113311
61433055
7462014
oct240633
9134838
1082331
1156947
123b78b
132b622
142200b
15195db
hex1419b

82331 has 8 divisors (see below), whose sum is σ = 90720. Its totient is φ = 74368.

The previous prime is 82307. The next prime is 82339. The reversal of 82331 is 13328.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 82331 - 26 = 82267 is a prime.

It is a super-2 number, since 2×823312 = 13556787122, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (82339) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 410 + ... + 576.

It is an arithmetic number, because the mean of its divisors is an integer number (11340).

282331 is an apocalyptic number.

82331 is a deficient number, since it is larger than the sum of its proper divisors (8389).

82331 is a wasteful number, since it uses less digits than its factorization.

82331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213.

The product of its digits is 144, while the sum is 17.

The square root of 82331 is about 286.9337902723. The cubic root of 82331 is about 43.5031926137.

Adding to 82331 its reverse (13328), we get a palindrome (95659).

The spelling of 82331 in words is "eighty-two thousand, three hundred thirty-one".

Divisors: 1 17 29 167 493 2839 4843 82331