Search a number
9129 = 317179
BaseRepresentation
bin10001110101001
3110112010
42032221
5243004
6110133
735421
oct21651
913463
109129
11694a
125349
134203
143481
152a89
hex23a9

9129 has 8 divisors (see below), whose sum is σ = 12960. Its totient is φ = 5696.

The previous prime is 9127. The next prime is 9133. The reversal of 9129 is 9219.

It can be divided in two parts, 91 and 29, that added together give a triangular number (120 = T15).

9129 = T4 + T5 + ... + T37.

It is a happy number.

9129 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 9129 - 21 = 9127 is a prime.

It is not an unprimeable number, because it can be changed into a prime (9127) 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 7 ways as a sum of consecutive naturals, for example, 39 + ... + 140.

It is an arithmetic number, because the mean of its divisors is an integer number (1620).

It is an amenable number.

9129 is a deficient number, since it is larger than the sum of its proper divisors (3831).

9129 is a wasteful number, since it uses less digits than its factorization.

9129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199.

The product of its digits is 162, while the sum is 21.

The square root of 9129 is about 95.5458005357. The cubic root of 9129 is about 20.8997489344.

The spelling of 9129 in words is "nine thousand, one hundred twenty-nine".

Divisors: 1 3 17 51 179 537 3043 9129