Search a number
-
+
2367331 is a prime number
BaseRepresentation
bin1001000001111101100011
311110021100221
421001331203
51101223311
6122423511
726056561
oct11017543
94407327
102367331
11137767a
12961b97
1364b6b5
14458a31
1531b671
hex241f63

2367331 has 2 divisors, whose sum is σ = 2367332. Its totient is φ = 2367330.

The previous prime is 2367329. The next prime is 2367341. The reversal of 2367331 is 1337632.

2367331 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 2367331 - 21 = 2367329 is a prime.

It is a super-3 number, since 3×23673313 = 39801387333617777073, which contains 333 as substring. Note that it is a super-d number also for d = 2.

Together with 2367329, it forms a pair of twin primes.

2367331 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 2367296 and 2367305.

It is not a weakly prime, because it can be changed into another prime (2367341) 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, 1183665 + 1183666.

It is an arithmetic number, because the mean of its divisors is an integer number (1183666).

22367331 is an apocalyptic number.

2367331 is a deficient number, since it is larger than the sum of its proper divisors (1).

2367331 is an equidigital number, since it uses as much as digits as its factorization.

2367331 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2268, while the sum is 25.

The square root of 2367331 is about 1538.6133367419. The cubic root of 2367331 is about 133.2763207641.

The spelling of 2367331 in words is "two million, three hundred sixty-seven thousand, three hundred thirty-one".