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8173 = 11743
BaseRepresentation
bin1111111101101
3102012201
41333231
5230143
6101501
732554
oct17755
912181
108173
116160
124891
133949
142d9b
15264d
hex1fed

8173 has 4 divisors (see below), whose sum is σ = 8928. Its totient is φ = 7420.

The previous prime is 8171. The next prime is 8179. The reversal of 8173 is 3718.

8173 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 8173 - 21 = 8171 is a prime.

It is a Duffinian number.

8173 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 8173.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8171) 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, 361 + ... + 382.

It is an arithmetic number, because the mean of its divisors is an integer number (2232).

28173 is an apocalyptic number.

It is an amenable number.

8173 is a deficient number, since it is larger than the sum of its proper divisors (755).

8173 is a wasteful number, since it uses less digits than its factorization.

8173 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 754.

The product of its digits is 168, while the sum is 19.

The square root of 8173 is about 90.4046458983. The cubic root of 8173 is about 20.1431397729.

Adding to 8173 its sum of digits (19), we get a 13-th power (8192 = 213).

It can be divided in two parts, 817 and 3, that added together give a triangular number (820 = T40).

The spelling of 8173 in words is "eight thousand, one hundred seventy-three".

Divisors: 1 11 743 8173