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10673 = 13821
BaseRepresentation
bin10100110110001
3112122022
42212301
5320143
6121225
743055
oct24661
915568
1010673
118023
126215
134b20
143c65
153268
hex29b1

10673 has 4 divisors (see below), whose sum is σ = 11508. Its totient is φ = 9840.

The previous prime is 10667. The next prime is 10687. The reversal of 10673 is 37601.

10673 is digitally balanced in base 2, 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 an emirpimes, since its reverse is a distinct semiprime: 37601 = 191979.

It can be written as a sum of positive squares in 2 ways, for example, as 2209 + 8464 = 47^2 + 92^2 .

It is a cyclic number.

It is not a de Polignac number, because 10673 - 24 = 10657 is a prime.

It is a super-2 number, since 2×106732 = 227825858, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a plaindrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (10613) 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, 398 + ... + 423.

It is an arithmetic number, because the mean of its divisors is an integer number (2877).

210673 is an apocalyptic number.

10673 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10673 is a deficient number, since it is larger than the sum of its proper divisors (835).

10673 is an equidigital number, since it uses as much as digits as its factorization.

10673 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 834.

The product of its (nonzero) digits is 126, while the sum is 17.

The square root of 10673 is about 103.3102124671. The cubic root of 10673 is about 22.0172041735.

The spelling of 10673 in words is "ten thousand, six hundred seventy-three".

Divisors: 1 13 821 10673