Search a number
13722 = 232287

13722 has 8 divisors (see below), whose sum is σ = 27456. Its totient is φ = 4572.

The previous prime is 13721. The next prime is 13723. The reversal of 13722 is 22731.

Subtracting 13722 from its reverse (22731), we obtain a palindrome (9009).

It can be divided in two parts, 1372 and 2, that multiplied together give a cube (2744 = 143).

It is an interprime number because it is at equal distance from previous prime (13721) and next prime (13723).

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

13722 is an admirable number.

It is a plaindrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (13721) 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, 1138 + ... + 1149.

It is an arithmetic number, because the mean of its divisors is an integer number (3432).

213722 is an apocalyptic number.

13722 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13728).

13722 is a wasteful number, since it uses less digits than its factorization.

13722 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2292.

The product of its digits is 84, while the sum is 15.

The square root of 13722 is about 117.1409407509. The cubic root of 13722 is about 23.9408264459.

The spelling of 13722 in words is "thirteen thousand, seven hundred twenty-two".

Divisors: 1 2 3 6 2287 4574 6861 13722