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213201797 is a prime number
BaseRepresentation
bin11001011010100…
…11001110000101
3112212011202212212
430231103032011
5414034424142
633053353205
75166120404
oct1455231605
9485152785
10213201797
11aa38a736
125b498805
133522a313
142045b63b
1513ab5d82
hexcb53385

213201797 has 2 divisors, whose sum is σ = 213201798. Its totient is φ = 213201796.

The previous prime is 213201767. The next prime is 213201799. The reversal of 213201797 is 797102312.

213201797 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., 198077476 + 15124321 = 14074^2 + 3889^2 .

It is a cyclic number.

It is not a de Polignac number, because 213201797 - 210 = 213200773 is a prime.

Together with 213201799, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (213201799) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106600898 + 106600899.

It is an arithmetic number, because the mean of its divisors is an integer number (106600899).

Almost surely, 2213201797 is an apocalyptic number.

It is an amenable number.

213201797 is a deficient number, since it is larger than the sum of its proper divisors (1).

213201797 is an equidigital number, since it uses as much as digits as its factorization.

213201797 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5292, while the sum is 32.

The square root of 213201797 is about 14601.4313339481. The cubic root of 213201797 is about 597.3978018866.

The spelling of 213201797 in words is "two hundred thirteen million, two hundred one thousand, seven hundred ninety-seven".