Search a number
-
+
15017 is a prime number
BaseRepresentation
bin11101010101001
3202121012
43222221
5440032
6153305
761532
oct35251
922535
1015017
1110312
128835
136ab2
145689
1546b2
hex3aa9

15017 has 2 divisors, whose sum is σ = 15018. Its totient is φ = 15016.

The previous prime is 15013. The next prime is 15031. The reversal of 15017 is 71051.

It is an a-pointer prime, because the next prime (15031) can be obtained adding 15017 to its sum of digits (14).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11881 + 3136 = 109^2 + 56^2 .

It is a cyclic number.

It is not a de Polignac number, because 15017 - 22 = 15013 is a prime.

It is a Chen prime.

It is a plaindrome in base 14.

It is a nialpdrome in base 4.

It is a junction number, because it is equal to n+sod(n) for n = 14992 and 15010.

It is not a weakly prime, because it can be changed into another prime (15013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 7508 + 7509.

It is an arithmetic number, because the mean of its divisors is an integer number (7509).

215017 is an apocalyptic number.

It is an amenable number.

15017 is a deficient number, since it is larger than the sum of its proper divisors (1).

15017 is an equidigital number, since it uses as much as digits as its factorization.

15017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 35, while the sum is 14.

The square root of 15017 is about 122.5438696957. The cubic root of 15017 is about 24.6714340270.

Adding to 15017 its reverse (71051), we get a palindrome (86068).

The spelling of 15017 in words is "fifteen thousand, seventeen".