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8673 = 37259
BaseRepresentation
bin10000111100001
3102220020
42013201
5234143
6104053
734200
oct20741
912806
108673
116575
125029
133c42
143237
152883
hex21e1

8673 has 12 divisors (see below), whose sum is σ = 13680. Its totient is φ = 4872.

The previous prime is 8669. The next prime is 8677. The reversal of 8673 is 3768.

Subtracting from 8673 its sum of digits (24), we obtain a square (8649 = 932).

It can be divided in two parts, 867 and 3, that multiplied together give a square (2601 = 512).

8673 is nontrivially palindromic in base 2.

It is an interprime number because it is at equal distance from previous prime (8669) and next prime (8677).

It is not a de Polignac number, because 8673 - 22 = 8669 is a prime.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

8673 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (8677) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 118 + ... + 176.

It is an arithmetic number, because the mean of its divisors is an integer number (1140).

28673 is an apocalyptic number.

It is an amenable number.

8673 is a deficient number, since it is larger than the sum of its proper divisors (5007).

8673 is a wasteful number, since it uses less digits than its factorization.

8673 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 69 counting only the distinct ones).

The product of its digits is 1008, while the sum is 24.

The square root of 8673 is about 93.1289428696. The cubic root of 8673 is about 20.5458028025.

The spelling of 8673 in words is "eight thousand, six hundred seventy-three".

Divisors: 1 3 7 21 49 59 147 177 413 1239 2891 8673