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213929 is a prime number
BaseRepresentation
bin110100001110101001
3101212110022
4310032221
523321204
64330225
71550462
oct641651
9355408
10213929
11136801
12a3975
13764b1
1457d69
15435be
hex343a9

213929 has 2 divisors, whose sum is σ = 213930. Its totient is φ = 213928.

The previous prime is 213919. The next prime is 213943. The reversal of 213929 is 929312.

213929 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 200704 + 13225 = 448^2 + 115^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-213929 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 213898 and 213907.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 213929.

It is not a weakly prime, because it can be changed into another prime (213919) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106964 + 106965.

It is an arithmetic number, because the mean of its divisors is an integer number (106965).

2213929 is an apocalyptic number.

It is an amenable number.

213929 is a deficient number, since it is larger than the sum of its proper divisors (1).

213929 is an equidigital number, since it uses as much as digits as its factorization.

213929 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 972, while the sum is 26.

The square root of 213929 is about 462.5245939407. The cubic root of 213929 is about 59.8076245950.

It can be divided in two parts, 2 and 13929, that added together give a palindrome (13931).

The spelling of 213929 in words is "two hundred thirteen thousand, nine hundred twenty-nine".