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23297 is a prime number
BaseRepresentation
bin101101100000001
31011221212
411230001
51221142
6255505
7124631
oct55401
934855
1023297
111655a
1211595
13a7b1
1486c1
156d82
hex5b01

23297 has 2 divisors, whose sum is σ = 23298. Its totient is φ = 23296.

The previous prime is 23293. The next prime is 23311. The reversal of 23297 is 79232.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 15376 + 7921 = 124^2 + 89^2 .

It is a cyclic number.

It is not a de Polignac number, because 23297 - 22 = 23293 is a prime.

It is a super-3 number, since 3×232973 = 37933354857219, which contains 333 as substring.

It is a Chen prime.

It is a d-powerful number, because it can be written as 213 + 38 + 213 + 9 + 73 .

It is not a weakly prime, because it can be changed into another prime (23291) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11648 + 11649.

It is an arithmetic number, because the mean of its divisors is an integer number (11649).

It is a Proth number, since it is equal to 91 ⋅ 28 + 1 and 91 < 28.

223297 is an apocalyptic number.

It is an amenable number.

23297 is a deficient number, since it is larger than the sum of its proper divisors (1).

23297 is an equidigital number, since it uses as much as digits as its factorization.

23297 is an evil number, because the sum of its binary digits is even.

The product of its digits is 756, while the sum is 23.

The square root of 23297 is about 152.6335480817. The cubic root of 23297 is about 28.5605565778.

The spelling of 23297 in words is "twenty-three thousand, two hundred ninety-seven".