Search a number
-
+
147289 is a prime number
BaseRepresentation
bin100011111101011001
321111001011
4203331121
514203124
63053521
71152262
oct437531
9244034
10147289
11a072a
12712a1
135206c
143b969
152d994
hex23f59

147289 has 2 divisors, whose sum is σ = 147290. Its totient is φ = 147288.

The previous prime is 147283. The next prime is 147293. The reversal of 147289 is 982741.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 129600 + 17689 = 360^2 + 133^2 .

It is an emirp because it is prime and its reverse (982741) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 147289 - 29 = 146777 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 147289.

It is not a weakly prime, because it can be changed into another prime (147283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 73644 + 73645.

It is an arithmetic number, because the mean of its divisors is an integer number (73645).

2147289 is an apocalyptic number.

It is an amenable number.

147289 is a deficient number, since it is larger than the sum of its proper divisors (1).

147289 is an equidigital number, since it uses as much as digits as its factorization.

147289 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4032, while the sum is 31.

The square root of 147289 is about 383.7824904813. The cubic root of 147289 is about 52.8108840816.

Adding to 147289 its product of digits (4032), we get a square (151321 = 3892).

The spelling of 147289 in words is "one hundred forty-seven thousand, two hundred eighty-nine".