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217057 is a prime number
BaseRepresentation
bin110100111111100001
3102000202011
4310333201
523421212
64352521
71562551
oct647741
9360664
10217057
11139095
12a5741
1377a49
1459161
15444a7
hex34fe1

217057 has 2 divisors, whose sum is σ = 217058. Its totient is φ = 217056.

The previous prime is 217033. The next prime is 217069. The reversal of 217057 is 750712.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 192721 + 24336 = 439^2 + 156^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-217057 is a prime.

It is a super-2 number, since 2×2170572 = 94227482498, which contains 22 as substring.

It is a Chen prime.

It is an Ulam number.

It is not a weakly prime, because it can be changed into another prime (217027) 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, 108528 + 108529.

It is an arithmetic number, because the mean of its divisors is an integer number (108529).

2217057 is an apocalyptic number.

It is an amenable number.

217057 is a deficient number, since it is larger than the sum of its proper divisors (1).

217057 is an equidigital number, since it uses as much as digits as its factorization.

217057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 490, while the sum is 22.

The square root of 217057 is about 465.8937647147. The cubic root of 217057 is about 60.0977111595.

Adding to 217057 its reverse (750712), we get a palindrome (967769).

It can be divided in two parts, 21705 and 7, that added together give a palindrome (21712).

The spelling of 217057 in words is "two hundred seventeen thousand, fifty-seven".