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BaseRepresentation
bin10100001101
31202220
4110031
520133
65553
73525
oct2415
91686
101293
11a76
128b9
13786
14685
155b3
hex50d

1293 has 4 divisors (see below), whose sum is σ = 1728. Its totient is φ = 860.

The previous prime is 1291. The next prime is 1297. The reversal of 1293 is 3921.

Subtracting 1293 from its reverse (3921), we obtain a triangular number (2628 = T72).

It can be divided in two parts, 12 and 93, that added together give a triangular number (105 = T14).

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, and also an emirpimes, since its reverse is a distinct semiprime: 3921 = 31307.

It is a cyclic number.

It is not a de Polignac number, because 1293 - 21 = 1291 is a prime.

It is a D-number.

It is a nialpdrome in base 6 and base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1291) 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, 213 + ... + 218.

It is an arithmetic number, because the mean of its divisors is an integer number (432).

It is an amenable number.

1293 is a deficient number, since it is larger than the sum of its proper divisors (435).

1293 is an equidigital number, since it uses as much as digits as its factorization.

1293 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434.

The product of its digits is 54, while the sum is 15.

The square root of 1293 is about 35.9583091927. The cubic root of 1293 is about 10.8943044621.

The spelling of 1293 in words is "one thousand, two hundred ninety-three".

Divisors: 1 3 431 1293