Search a number
-
+
17129 = 72447
BaseRepresentation
bin100001011101001
3212111102
410023221
51022004
6211145
7100640
oct41351
925442
1017129
1111962
129ab5
137a48
146357
15511e
hex42e9

17129 has 4 divisors (see below), whose sum is σ = 19584. Its totient is φ = 14676.

The previous prime is 17123. The next prime is 17137. The reversal of 17129 is 92171.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 92171 = 611511.

It is a cyclic number.

It is not a de Polignac number, because 17129 - 212 = 13033 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 17129.

It is not an unprimeable number, because it can be changed into a prime (17123) by changing a digit.

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, 1217 + ... + 1230.

It is an arithmetic number, because the mean of its divisors is an integer number (4896).

217129 is an apocalyptic number.

It is an amenable number.

17129 is a deficient number, since it is larger than the sum of its proper divisors (2455).

17129 is an equidigital number, since it uses as much as digits as its factorization.

17129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2454.

The product of its digits is 126, while the sum is 20.

The square root of 17129 is about 130.8778056051. The cubic root of 17129 is about 25.7776903870. Note that the first 3 decimals are identical.

The spelling of 17129 in words is "seventeen thousand, one hundred twenty-nine".

Divisors: 1 7 2447 17129