Search a number
BaseRepresentation
bin11010110000101
3200210110
43112011
5414301
6143233
754642
oct32605
920713
1013701
11a326
127b19
13630c
144dc9
1540d6
hex3585

13701 has 4 divisors (see below), whose sum is σ = 18272. Its totient is φ = 9132.

The previous prime is 13697. The next prime is 13709. The reversal of 13701 is 10731.

Subtracting from 13701 its sum of digits (12), we obtain a square (13689 = 1172).

13701 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 a Blum integer, because the two primes are equal to 3 mod 4.

It is not a de Polignac number, because 13701 - 22 = 13697 is a prime.

It is a super-3 number, since 3×137013 = 7715748333303, which contains 333 as substring.

It is a D-number.

It is a Duffinian number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 13701.

It is not an unprimeable number, because it can be changed into a prime (13709) 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, 2281 + ... + 2286.

It is an arithmetic number, because the mean of its divisors is an integer number (4568).

213701 is an apocalyptic number.

It is an amenable number.

13701 is a deficient number, since it is larger than the sum of its proper divisors (4571).

13701 is an equidigital number, since it uses as much as digits as its factorization.

13701 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4570.

The product of its (nonzero) digits is 21, while the sum is 12.

The square root of 13701 is about 117.0512708175. The cubic root of 13701 is about 23.9286072834.

The spelling of 13701 in words is "thirteen thousand, seven hundred one".

Divisors: 1 3 4567 13701