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83283 = 3172371
BaseRepresentation
bin10100010101010011
311020020120
4110111103
510131113
61441323
7464544
oct242523
9136216
1083283
1157632
1240243
132bba5
14224cb
1519a23
hex14553

83283 has 16 divisors (see below), whose sum is σ = 124416. Its totient is φ = 49280.

The previous prime is 83273. The next prime is 83299. The reversal of 83283 is 38238.

It is a cyclic number.

It is not a de Polignac number, because 83283 - 24 = 83267 is a prime.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (83203) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1138 + ... + 1208.

It is an arithmetic number, because the mean of its divisors is an integer number (7776).

283283 is an apocalyptic number.

83283 is a deficient number, since it is larger than the sum of its proper divisors (41133).

83283 is a wasteful number, since it uses less digits than its factorization.

83283 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114.

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

The square root of 83283 is about 288.5879415360. The cubic root of 83283 is about 43.6702274223.

The spelling of 83283 in words is "eighty-three thousand, two hundred eighty-three".

Divisors: 1 3 17 23 51 69 71 213 391 1173 1207 1633 3621 4899 27761 83283