1673 has 4 divisors (see below), whose sum is σ = 1920. Its totient is φ = 1428.

The previous prime is 1669. The next prime is 1693. The reversal of 1673 is 3761.

1673 is nontrivially palindromic in base 13.

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 not a de Polignac number, because 1673 - 2^{2} = 1669 is a prime.

It is a Duffinian number.

1673 is an undulating number in base 13.

It is a Curzon number.

It is a plaindrome in base 9 and base 16.

It is a nialpdrome in base 8, base 12 and base 14.

It is an inconsummate number, since it does not exist a number *n* which divided by its sum of digits gives 1673.

It is not an unprimeable number, because it can be changed into a prime (1613) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 113 + ... + 126.

It is an arithmetic number, because the mean of its divisors is an integer number (480).

It is an amenable number.

1673 is a deficient number, since it is larger than the sum of its proper divisors (247).

1673 is an equidigital number, since it uses as much as digits as its factorization.

1673 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246.

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

The square root of 1673 is about 40.9023226724. The cubic root of 1673 is about 11.8713100262.

Multiplying 1673 by its sum of digits (17), we get a triangular number (28441 = T_{238}).

The spelling of 1673 in words is "one thousand, six hundred seventy-three".

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