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213919 is a prime number
BaseRepresentation
bin110100001110011111
3101212102221
4310032133
523321134
64330211
71550446
oct641637
9355387
10213919
111367a2
12a3967
13764a4
1457d5d
15435b4
hex3439f

213919 has 2 divisors, whose sum is σ = 213920. Its totient is φ = 213918.

The previous prime is 213901. The next prime is 213929. The reversal of 213919 is 919312.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 213919 - 25 = 213887 is a prime.

It is a super-2 number, since 2×2139192 = 91522677122, which contains 22 as substring.

213919 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 213893 and 213902.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (213929) 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, 106959 + 106960.

It is an arithmetic number, because the mean of its divisors is an integer number (106960).

2213919 is an apocalyptic number.

213919 is a deficient number, since it is larger than the sum of its proper divisors (1).

213919 is an equidigital number, since it uses as much as digits as its factorization.

213919 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 486, while the sum is 25.

The square root of 213919 is about 462.5137835784. The cubic root of 213919 is about 59.8066926884.

The spelling of 213919 in words is "two hundred thirteen thousand, nine hundred nineteen".