Search a number
-
+
13861 = 83167
BaseRepresentation
bin11011000100101
3201000101
43120211
5420421
6144101
755261
oct33045
921011
1013861
11a461
128031
136403
1450a1
154191
hex3625

13861 has 4 divisors (see below), whose sum is σ = 14112. Its totient is φ = 13612.

The previous prime is 13859. The next prime is 13873. The reversal of 13861 is 16831.

13861 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

13861 is a nontrivial binomial coefficient, being equal to C(167, 2).

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 13861 - 21 = 13859 is a prime.

It is a Duffinian number.

13861 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13831) 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, 1 + ... + 166.

It is an arithmetic number, because the mean of its divisors is an integer number (3528).

213861 is an apocalyptic number.

13861 is the 166-th triangular number.

13861 is the 56-th centered nonagonal number.

It is an amenable number.

13861 is a deficient number, since it is larger than the sum of its proper divisors (251).

13861 is an equidigital number, since it uses as much as digits as its factorization.

13861 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250.

The product of its digits is 144, while the sum is 19.

The square root of 13861 is about 117.7327482054. The cubic root of 13861 is about 24.0213929623.

The spelling of 13861 in words is "thirteen thousand, eight hundred sixty-one".

Divisors: 1 83 167 13861