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82833 = 327611
BaseRepresentation
bin10100001110010001
311012121220
4110032101
510122313
61435253
7463332
oct241621
9135556
1082833
1157263
123bb29
132b91a
1422289
1519823
hex14391

82833 has 4 divisors (see below), whose sum is σ = 110448. Its totient is φ = 55220.

The previous prime is 82813. The next prime is 82837. The reversal of 82833 is 33828.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 82833 - 212 = 78737 is a prime.

It is a super-2 number, since 2×828332 = 13722611778, which contains 22 as substring.

It is a D-number.

It is a Curzon number.

82833 is a lucky number.

It is a plaindrome in base 9 and base 14.

It is not an unprimeable number, because it can be changed into a prime (82837) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13803 + ... + 13808.

It is an arithmetic number, because the mean of its divisors is an integer number (27612).

282833 is an apocalyptic number.

It is an amenable number.

82833 is a deficient number, since it is larger than the sum of its proper divisors (27615).

82833 is a wasteful number, since it uses less digits than its factorization.

82833 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27614.

The product of its digits is 1152, while the sum is 24.

The square root of 82833 is about 287.8072271504. The cubic root of 82833 is about 43.5914314166.

It can be divided in two parts, 828 and 33, that added together give a triangular number (861 = T41).

The spelling of 82833 in words is "eighty-two thousand, eight hundred thirty-three".

Divisors: 1 3 27611 82833