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85003 = 167509
BaseRepresentation
bin10100110000001011
311022121021
4110300023
510210003
61453311
7502552
oct246013
9138537
1085003
1158956
1241237
132c8c9
1422d99
151a2bd
hex14c0b

85003 has 4 divisors (see below), whose sum is σ = 85680. Its totient is φ = 84328.

The previous prime is 84991. The next prime is 85009. The reversal of 85003 is 30058.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-85003 is a prime.

It is a Duffinian number.

85003 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (85009) 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, 88 + ... + 421.

It is an arithmetic number, because the mean of its divisors is an integer number (21420).

285003 is an apocalyptic number.

85003 is a deficient number, since it is larger than the sum of its proper divisors (677).

85003 is a wasteful number, since it uses less digits than its factorization.

85003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 676.

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

The square root of 85003 is about 291.5527396544. The cubic root of 85003 is about 43.9688139896.

Subtracting from 85003 its reverse (30058), we obtain a palindrome (54945).

The spelling of 85003 in words is "eighty-five thousand, three".

Divisors: 1 167 509 85003