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5083 = 131723
BaseRepresentation
bin1001111011011
320222021
41033123
5130313
635311
720551
oct11733
96867
105083
113901
122b37
132410
141bd1
15178d
hex13db

5083 has 8 divisors (see below), whose sum is σ = 6048. Its totient is φ = 4224.

The previous prime is 5081. The next prime is 5087. The reversal of 5083 is 3805.

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

It is a 7-Lehmer number, since φ(5083) divides (5083-1)7.

It is a cyclic number.

It is not a de Polignac number, because 5083 - 21 = 5081 is a prime.

It is a Duffinian number.

It is a plaindrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (5081) 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, 210 + ... + 232.

It is an arithmetic number, because the mean of its divisors is an integer number (756).

25083 is an apocalyptic number.

5083 is a deficient number, since it is larger than the sum of its proper divisors (965).

5083 is a wasteful number, since it uses less digits than its factorization.

5083 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53.

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 5083 is about 71.2951611261. The cubic root of 5083 is about 17.1938593547.

Multiplying 5083 by its product of nonzero digits (120), we get a triangular number (609960 = T1104).

Adding to 5083 its reverse (3805), we get a palindrome (8888).

The spelling of 5083 in words is "five thousand, eighty-three".

Divisors: 1 13 17 23 221 299 391 5083