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116993 is a prime number
BaseRepresentation
bin11100100100000001
312221111002
4130210001
512220433
62301345
7665042
oct344401
9187432
10116993
117a998
1257855
1341336
14308c9
15249e8
hex1c901

116993 has 2 divisors, whose sum is σ = 116994. Its totient is φ = 116992.

The previous prime is 116989. The next prime is 117017. The reversal of 116993 is 399611.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 107584 + 9409 = 328^2 + 97^2 .

It is a cyclic number.

It is not a de Polignac number, because 116993 - 22 = 116989 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (116903) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 58496 + 58497.

It is an arithmetic number, because the mean of its divisors is an integer number (58497).

2116993 is an apocalyptic number.

It is an amenable number.

116993 is a deficient number, since it is larger than the sum of its proper divisors (1).

116993 is an equidigital number, since it uses as much as digits as its factorization.

116993 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1458, while the sum is 29.

The square root of 116993 is about 342.0423950331. The cubic root of 116993 is about 48.9087570379.

Subtracting from 116993 its sum of digits (29), we obtain a square (116964 = 3422).

The spelling of 116993 in words is "one hundred sixteen thousand, nine hundred ninety-three".