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13801 = 37373
BaseRepresentation
bin11010111101001
3200221011
43113221
5420201
6143521
755144
oct32751
920834
1013801
11a407
127ba1
136388
14505b
154151
hex35e9

13801 has 4 divisors (see below), whose sum is σ = 14212. Its totient is φ = 13392.

The previous prime is 13799. The next prime is 13807. The reversal of 13801 is 10831.

13801 is digitally balanced in base 3, 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.

It can be written as a sum of positive squares in 2 ways, for example, as 10201 + 3600 = 101^2 + 60^2 .

It is a cyclic number.

It is not a de Polignac number, because 13801 - 21 = 13799 is a prime.

It is a Duffinian number.

13801 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13807) 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, 150 + ... + 223.

It is an arithmetic number, because the mean of its divisors is an integer number (3553).

213801 is an apocalyptic number.

It is an amenable number.

13801 is a deficient number, since it is larger than the sum of its proper divisors (411).

13801 is an equidigital number, since it uses as much as digits as its factorization.

13801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410.

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 13801 is about 117.4776574503. The cubic root of 13801 is about 23.9866824263.

The spelling of 13801 in words is "thirteen thousand, eight hundred one".

Divisors: 1 37 373 13801