Search a number
-
+
313249 is a prime number
BaseRepresentation
bin1001100011110100001
3120220200211
41030132201
540010444
610414121
72443156
oct1143641
9526624
10313249
111a4392
12131341
13ac771
148222d
1562c34
hex4c7a1

313249 has 2 divisors, whose sum is σ = 313250. Its totient is φ = 313248.

The previous prime is 313241. The next prime is 313267. The reversal of 313249 is 942313.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 270400 + 42849 = 520^2 + 207^2 .

It is an emirp because it is prime and its reverse (942313) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 313249 - 23 = 313241 is a prime.

It is a Chen prime.

313249 is a lucky number.

It is not a weakly prime, because it can be changed into another prime (313241) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156624 + 156625.

It is an arithmetic number, because the mean of its divisors is an integer number (156625).

2313249 is an apocalyptic number.

It is an amenable number.

313249 is a deficient number, since it is larger than the sum of its proper divisors (1).

313249 is an equidigital number, since it uses as much as digits as its factorization.

313249 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 648, while the sum is 22.

The square root of 313249 is about 559.6865194017. The cubic root of 313249 is about 67.9146131254.

The spelling of 313249 in words is "three hundred thirteen thousand, two hundred forty-nine".