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66593 is a prime number
BaseRepresentation
bin10000010000100001
310101100102
4100100201
54112333
61232145
7365102
oct202041
9111312
1066593
114603a
1232655
1324407
141a3a9
1514ae8
hex10421

66593 has 2 divisors, whose sum is σ = 66594. Its totient is φ = 66592.

The previous prime is 66587. The next prime is 66601. The reversal of 66593 is 39566.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 53824 + 12769 = 232^2 + 113^2 .

It is a cyclic number.

It is not a de Polignac number, because 66593 - 26 = 66529 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (66523) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 33296 + 33297.

It is an arithmetic number, because the mean of its divisors is an integer number (33297).

266593 is an apocalyptic number.

It is an amenable number.

66593 is a deficient number, since it is larger than the sum of its proper divisors (1).

66593 is an equidigital number, since it uses as much as digits as its factorization.

66593 is an evil number, because the sum of its binary digits is even.

The product of its digits is 4860, while the sum is 29.

The square root of 66593 is about 258.0561954304. The cubic root of 66593 is about 40.5330726144.

Subtracting from 66593 its sum of digits (29), we obtain a square (66564 = 2582).

The spelling of 66593 in words is "sixty-six thousand, five hundred ninety-three".