Search a number
-
+
13137329 is a prime number
BaseRepresentation
bin110010000111…
…010110110001
3220201110000202
4302013112301
511330343304
61145324545
7216444152
oct62072661
926643022
1013137329
1174632a7
124496755
13294c88a
141a5d929
15124781e
hexc875b1

13137329 has 2 divisors, whose sum is σ = 13137330. Its totient is φ = 13137328.

The previous prime is 13137287. The next prime is 13137337. The reversal of 13137329 is 92373131.

13137329 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11916304 + 1221025 = 3452^2 + 1105^2 .

It is a cyclic number.

It is not a de Polignac number, because 13137329 - 212 = 13133233 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (13137349) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6568664 + 6568665.

It is an arithmetic number, because the mean of its divisors is an integer number (6568665).

Almost surely, 213137329 is an apocalyptic number.

It is an amenable number.

13137329 is a deficient number, since it is larger than the sum of its proper divisors (1).

13137329 is an equidigital number, since it uses as much as digits as its factorization.

13137329 is an evil number, because the sum of its binary digits is even.

The product of its digits is 3402, while the sum is 29.

The square root of 13137329 is about 3624.5453507992. The cubic root of 13137329 is about 235.9585355190.

The spelling of 13137329 in words is "thirteen million, one hundred thirty-seven thousand, three hundred twenty-nine".