Search a number
-
+
25314 = 234219

25314 has 8 divisors (see below), whose sum is σ = 50640. Its totient is φ = 8436.

The previous prime is 25309. The next prime is 25321. The reversal of 25314 is 41352.

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

25314 is an admirable number.

It is a plaindrome in base 15.

It is a nialpdrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 25293 and 25302.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 25314.

It is an unprimeable number.

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, 2104 + ... + 2115.

It is an arithmetic number, because the mean of its divisors is an integer number (6330).

25314 is a Friedman number, since it can be written as (15^4+3)/2, using all its digits and the basic arithmetic operations.

225314 is an apocalyptic number.

25314 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 (25320).

25314 is a wasteful number, since it uses less digits than its factorization.

25314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4224.

The product of its digits is 120, while the sum is 15.

The square root of 25314 is about 159.1037397423. The cubic root of 25314 is about 29.3620872777.

Adding to 25314 its reverse (41352), we get a palindrome (66666).

The spelling of 25314 in words is "twenty-five thousand, three hundred fourteen".

Divisors: 1 2 3 6 4219 8438 12657 25314