Search a number
-
+
13345 = 517157
BaseRepresentation
bin11010000100001
3200022021
43100201
5411340
6141441
753623
oct32041
920267
1013345
11a032
127881
1360c7
144c13
153e4a
hex3421

13345 has 8 divisors (see below), whose sum is σ = 17064. Its totient is φ = 9984.

The previous prime is 13339. The next prime is 13367. The reversal of 13345 is 54331.

It can be written as a sum of positive squares in 4 ways, for example, as 1681 + 11664 = 41^2 + 108^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 13345 - 23 = 13337 is a prime.

It is a Duffinian number.

13345 is a lucky number.

It is a plaindrome in base 10.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 7 + ... + 163.

It is an arithmetic number, because the mean of its divisors is an integer number (2133).

213345 is an apocalyptic number.

It is an amenable number.

13345 is a deficient number, since it is larger than the sum of its proper divisors (3719).

13345 is a wasteful number, since it uses less digits than its factorization.

13345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179.

The product of its digits is 180, while the sum is 16.

The square root of 13345 is about 115.5205609405. The cubic root of 13345 is about 23.7195361951.

Adding to 13345 its reverse (54331), we get a palindrome (67676).

It can be divided in two parts, 1334 and 5, that multiplied together give a triangular number (6670 = T115).

The spelling of 13345 in words is "thirteen thousand, three hundred forty-five".

Divisors: 1 5 17 85 157 785 2669 13345