Search a number
-
+
13997329 is a prime number
BaseRepresentation
bin110101011001…
…010100010001
3222100010201121
4311121110101
512040403304
61220002241
7226655353
oct65312421
928303647
1013997329
1179a0445
124830381
132b91158
141c050d3
151367554
hexd59511

13997329 has 2 divisors, whose sum is σ = 13997330. Its totient is φ = 13997328.

The previous prime is 13997327. The next prime is 13997339. The reversal of 13997329 is 92379931.

13997329 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12616704 + 1380625 = 3552^2 + 1175^2 .

It is a cyclic number.

It is not a de Polignac number, because 13997329 - 21 = 13997327 is a prime.

Together with 13997327, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (13997323) 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, 6998664 + 6998665.

It is an arithmetic number, because the mean of its divisors is an integer number (6998665).

Almost surely, 213997329 is an apocalyptic number.

It is an amenable number.

13997329 is a deficient number, since it is larger than the sum of its proper divisors (1).

13997329 is an equidigital number, since it uses as much as digits as its factorization.

13997329 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 91854, while the sum is 43.

The square root of 13997329 is about 3741.3004423596. The cubic root of 13997329 is about 240.9988980856.

The spelling of 13997329 in words is "thirteen million, nine hundred ninety-seven thousand, three hundred twenty-nine".