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217385921 is a prime number
BaseRepresentation
bin11001111010100…
…00101111000001
3120011001100102102
430331100233001
5421122322141
633323200145
75246515124
oct1475205701
9504040372
10217385921
11101788295
1260976055
133606392c
1420c2a3bb
151414099b
hexcf50bc1

217385921 has 2 divisors, whose sum is σ = 217385922. Its totient is φ = 217385920.

The previous prime is 217385911. The next prime is 217385939. The reversal of 217385921 is 129583712.

217385921 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., 201072400 + 16313521 = 14180^2 + 4039^2 .

It is a cyclic number.

It is not a de Polignac number, because 217385921 - 222 = 213191617 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (217385911) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 108692960 + 108692961.

It is an arithmetic number, because the mean of its divisors is an integer number (108692961).

Almost surely, 2217385921 is an apocalyptic number.

It is an amenable number.

217385921 is a deficient number, since it is larger than the sum of its proper divisors (1).

217385921 is an equidigital number, since it uses as much as digits as its factorization.

217385921 is an evil number, because the sum of its binary digits is even.

The product of its digits is 30240, while the sum is 38.

The square root of 217385921 is about 14744.0130561527. The cubic root of 217385921 is about 601.2805253324.

The spelling of 217385921 in words is "two hundred seventeen million, three hundred eighty-five thousand, nine hundred twenty-one".