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214993 is a prime number
BaseRepresentation
bin110100011111010001
3101220220201
4310133101
523334433
64335201
71553542
oct643721
9356821
10214993
11137589
12a4501
1376b1c
14584c9
1543a7d
hex347d1

214993 has 2 divisors, whose sum is σ = 214994. Its totient is φ = 214992.

The previous prime is 214987. The next prime is 215051. The reversal of 214993 is 399412.

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., 117649 + 97344 = 343^2 + 312^2 .

It is a cyclic number.

It is not a de Polignac number, because 214993 - 29 = 214481 is a prime.

214993 is a lucky number.

It is not a weakly prime, because it can be changed into another prime (214913) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 107496 + 107497.

It is an arithmetic number, because the mean of its divisors is an integer number (107497).

2214993 is an apocalyptic number.

It is an amenable number.

214993 is a deficient number, since it is larger than the sum of its proper divisors (1).

214993 is an equidigital number, since it uses as much as digits as its factorization.

214993 is an evil number, because the sum of its binary digits is even.

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

The square root of 214993 is about 463.6733764192. The cubic root of 214993 is about 59.9066139855.

The spelling of 214993 in words is "two hundred fourteen thousand, nine hundred ninety-three".