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83823 = 327941
BaseRepresentation
bin10100011101101111
311020222120
4110131233
510140243
61444023
7466245
oct243557
9136876
1083823
1157a83
1240613
132c1cc
1422795
1519c83
hex1476f

83823 has 4 divisors (see below), whose sum is σ = 111768. Its totient is φ = 55880.

The previous prime is 83813. The next prime is 83833. The reversal of 83823 is 32838.

It is a semiprime because it is the product of two primes.

It is an interprime number because it is at equal distance from previous prime (83813) and next prime (83833).

It is a cyclic number.

It is not a de Polignac number, because 83823 - 25 = 83791 is a prime.

It is a D-number.

It is a junction number, because it is equal to n+sod(n) for n = 83793 and 83802.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 83823.

It is not an unprimeable number, because it can be changed into a prime (83813) 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 3 ways as a sum of consecutive naturals, for example, 13968 + ... + 13973.

It is an arithmetic number, because the mean of its divisors is an integer number (27942).

283823 is an apocalyptic number.

83823 is a deficient number, since it is larger than the sum of its proper divisors (27945).

83823 is a wasteful number, since it uses less digits than its factorization.

83823 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27944.

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

The square root of 83823 is about 289.5220198880. The cubic root of 83823 is about 43.7644088594.

It can be divided in two parts, 8382 and 3, that added together give a triangular number (8385 = T129).

The spelling of 83823 in words is "eighty-three thousand, eight hundred twenty-three".

Divisors: 1 3 27941 83823