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213337 is a prime number
BaseRepresentation
bin110100000101011001
3101211122101
4310011121
523311322
64323401
71545655
oct640531
9354571
10213337
11136313
12a3561
1376147
1457a65
1543327
hex34159

213337 has 2 divisors, whose sum is σ = 213338. Its totient is φ = 213336.

The previous prime is 213329. The next prime is 213349. The reversal of 213337 is 733312.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 143641 + 69696 = 379^2 + 264^2 .

It is a cyclic number.

It is not a de Polignac number, because 213337 - 23 = 213329 is a prime.

It is not a weakly prime, because it can be changed into another prime (213307) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106668 + 106669.

It is an arithmetic number, because the mean of its divisors is an integer number (106669).

2213337 is an apocalyptic number.

It is an amenable number.

213337 is a deficient number, since it is larger than the sum of its proper divisors (1).

213337 is an equidigital number, since it uses as much as digits as its factorization.

213337 is an evil number, because the sum of its binary digits is even.

The product of its digits is 378, while the sum is 19.

The square root of 213337 is about 461.8841846177. The cubic root of 213337 is about 59.7524056150.

Adding to 213337 its reverse (733312), we get a palindrome (946649).

It can be divided in two parts, 21333 and 7, that multiplied together give a triangular number (149331 = T546).

The spelling of 213337 in words is "two hundred thirteen thousand, three hundred thirty-seven".