Search a number
-
+
314064133 is a prime number
BaseRepresentation
bin10010101110000…
…011110100000101
3210212222002222221
4102232003310011
51120400023013
651055252341
710532333605
oct2256036405
9725862887
10314064133
11151310039
128921a0b1
13500b3486
142d9d4c05
151c88b08d
hex12b83d05

314064133 has 2 divisors, whose sum is σ = 314064134. Its totient is φ = 314064132.

The previous prime is 314064119. The next prime is 314064151. The reversal of 314064133 is 331460413.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 304223364 + 9840769 = 17442^2 + 3137^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-314064133 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 314064098 and 314064107.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (314064533) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 157032066 + 157032067.

It is an arithmetic number, because the mean of its divisors is an integer number (157032067).

Almost surely, 2314064133 is an apocalyptic number.

It is an amenable number.

314064133 is a deficient number, since it is larger than the sum of its proper divisors (1).

314064133 is an equidigital number, since it uses as much as digits as its factorization.

314064133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2592, while the sum is 25.

The square root of 314064133 is about 17721.8546715630. The cubic root of 314064133 is about 679.7347098081.

The spelling of 314064133 in words is "three hundred fourteen million, sixty-four thousand, one hundred thirty-three".