Search a number
30347 is a prime number

30347 has 2 divisors, whose sum is σ = 30348. Its totient is φ = 30346.

The previous prime is 30341. The next prime is 30367. The reversal of 30347 is 74303.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 30347 - 28 = 30091 is a prime.

It is a super-3 number, since 3×303473 = 83843335775769, which contains 333 as substring.

It is a d-powerful number, because it can be written as 38 + 0 + 39 + 46 + 7 .

It is an alternating number because its digits alternate between odd and even.

It is a plaindrome in base 9 and base 12.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 30347.

It is not a weakly prime, because it can be changed into another prime (30341) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15173 + 15174.

It is an arithmetic number, because the mean of its divisors is an integer number (15174).

230347 is an apocalyptic number.

30347 is a deficient number, since it is larger than the sum of its proper divisors (1).

30347 is an equidigital number, since it uses as much as digits as its factorization.

30347 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 252, while the sum is 17.

The square root of 30347 is about 174.2039035154. The cubic root of 30347 is about 31.1916671808.

Subtracting 30347 from its reverse (74303), we obtain a triangular number (43956 = T296).

It can be divided in two parts, 303 and 47, that multiplied together give a palindrome (14241).

The spelling of 30347 in words is "thirty thousand, three hundred forty-seven".