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83943 = 333109
BaseRepresentation
bin10100011111100111
311021011000
4110133213
510141233
61444343
7466506
oct243747
9137130
1083943
1158082
12406b3
132c292
142283d
1519d13
hex147e7

83943 has 8 divisors (see below), whose sum is σ = 124400. Its totient is φ = 55944.

The previous prime is 83939. The next prime is 83969. The reversal of 83943 is 34938.

It is not a de Polignac number, because 83943 - 22 = 83939 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 3109 = 83943 / (8 + 3 + 9 + 4 + 3).

It is an Ulam number.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1528 + ... + 1581.

It is an arithmetic number, because the mean of its divisors is an integer number (15550).

283943 is an apocalyptic number.

83943 is a deficient number, since it is larger than the sum of its proper divisors (40457).

83943 is a wasteful number, since it uses less digits than its factorization.

83943 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3118 (or 3112 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 83943 is about 289.7291838942. The cubic root of 83943 is about 43.7852831022.

The spelling of 83943 in words is "eighty-three thousand, nine hundred forty-three".

Divisors: 1 3 9 27 3109 9327 27981 83943