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13973 = 89157
BaseRepresentation
bin11011010010101
3201011112
43122111
5421343
6144405
755511
oct33225
921145
1013973
11a553
128105
13648b
145141
154218
hex3695

13973 has 4 divisors (see below), whose sum is σ = 14220. Its totient is φ = 13728.

The previous prime is 13967. The next prime is 13997. The reversal of 13973 is 37931.

It can be divided in two parts, 139 and 73, that added together give a palindrome (212).

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 37931 = 83457.

It can be written as a sum of positive squares in 2 ways, for example, as 3364 + 10609 = 58^2 + 103^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13973 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a nialpdrome in base 7 and base 11.

It is a zygodrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13903) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11 + ... + 167.

It is an arithmetic number, because the mean of its divisors is an integer number (3555).

213973 is an apocalyptic number.

It is an amenable number.

13973 is a deficient number, since it is larger than the sum of its proper divisors (247).

13973 is an equidigital number, since it uses as much as digits as its factorization.

13973 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246.

The product of its digits is 567, while the sum is 23.

The square root of 13973 is about 118.2074447740. The cubic root of 13973 is about 24.0859188991.

The spelling of 13973 in words is "thirteen thousand, nine hundred seventy-three".

Divisors: 1 89 157 13973