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212593 is a prime number
BaseRepresentation
bin110011111001110001
3101210121211
4303321301
523300333
64320121
71543543
oct637161
9353554
10212593
111357a7
12a3041
13759c4
1457693
1542ecd
hex33e71

212593 has 2 divisors, whose sum is σ = 212594. Its totient is φ = 212592.

The previous prime is 212587. The next prime is 212627. The reversal of 212593 is 395212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 169744 + 42849 = 412^2 + 207^2 .

It is a cyclic number.

It is not a de Polignac number, because 212593 - 25 = 212561 is a prime.

212593 is a lucky number.

It is not a weakly prime, because it can be changed into another prime (212573) 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, 106296 + 106297.

It is an arithmetic number, because the mean of its divisors is an integer number (106297).

2212593 is an apocalyptic number.

It is an amenable number.

212593 is a deficient number, since it is larger than the sum of its proper divisors (1).

212593 is an equidigital number, since it uses as much as digits as its factorization.

212593 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 540, while the sum is 22.

The square root of 212593 is about 461.0780844933. The cubic root of 212593 is about 59.6828637335.

The spelling of 212593 in words is "two hundred twelve thousand, five hundred ninety-three".