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213949 is a prime number
BaseRepresentation
bin110100001110111101
3101212111001
4310032331
523321244
64330301
71550521
oct641675
9355431
10213949
1113681a
12a3991
13764c8
1457d81
15435d4
hex343bd

213949 has 2 divisors, whose sum is σ = 213950. Its totient is φ = 213948.

The previous prime is 213947. The next prime is 213953. The reversal of 213949 is 949312.

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., 202500 + 11449 = 450^2 + 107^2 .

It is a cyclic number.

It is not a de Polignac number, because 213949 - 21 = 213947 is a prime.

Together with 213947, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (213943) 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, 106974 + 106975.

It is an arithmetic number, because the mean of its divisors is an integer number (106975).

2213949 is an apocalyptic number.

It is an amenable number.

213949 is a deficient number, since it is larger than the sum of its proper divisors (1).

213949 is an equidigital number, since it uses as much as digits as its factorization.

213949 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1944, while the sum is 28.

The square root of 213949 is about 462.5462139073. The cubic root of 213949 is about 59.8094883212.

The spelling of 213949 in words is "two hundred thirteen thousand, nine hundred forty-nine".