Search a number
-
+
214729 is a prime number
BaseRepresentation
bin110100011011001001
3101220112221
4310123021
523332404
64334041
71553014
oct643311
9356487
10214729
11137369
12a4321
1376978
145837b
1543954
hex346c9

214729 has 2 divisors, whose sum is σ = 214730. Its totient is φ = 214728.

The previous prime is 214723. The next prime is 214733. The reversal of 214729 is 927412.

214729 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 182329 + 32400 = 427^2 + 180^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-214729 is a prime.

It is a super-2 number, since 2×2147292 = 92217086882, which contains 22 as substring.

It is an alternating number because its digits alternate between even and odd.

214729 is a lucky number.

It is a nialpdrome in base 8 and base 12.

It is not a weakly prime, because it can be changed into another prime (214723) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 107364 + 107365.

It is an arithmetic number, because the mean of its divisors is an integer number (107365).

2214729 is an apocalyptic number.

It is an amenable number.

214729 is a deficient number, since it is larger than the sum of its proper divisors (1).

214729 is an equidigital number, since it uses as much as digits as its factorization.

214729 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1008, while the sum is 25.

The square root of 214729 is about 463.3886058159. The cubic root of 214729 is about 59.8820832272.

The spelling of 214729 in words is "two hundred fourteen thousand, seven hundred twenty-nine".