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233993 is a prime number
BaseRepresentation
bin111001001000001001
3102212222102
4321020021
524441433
65003145
71663124
oct711011
9385872
10233993
1114a891
12b34b5
1382676
14613bb
15494e8
hex39209

233993 has 2 divisors, whose sum is σ = 233994. Its totient is φ = 233992.

The previous prime is 233983. The next prime is 234007. The reversal of 233993 is 399332.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 139129 + 94864 = 373^2 + 308^2 .

233993 is a truncatable prime.

It is a cyclic number.

It is not a de Polignac number, because 233993 - 212 = 229897 is a prime.

It is not a weakly prime, because it can be changed into another prime (233923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 116996 + 116997.

It is an arithmetic number, because the mean of its divisors is an integer number (116997).

2233993 is an apocalyptic number.

It is an amenable number.

233993 is a deficient number, since it is larger than the sum of its proper divisors (1).

233993 is an equidigital number, since it uses as much as digits as its factorization.

233993 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4374, while the sum is 29.

The square root of 233993 is about 483.7282294843. The cubic root of 233993 is about 61.6217870030.

The spelling of 233993 in words is "two hundred thirty-three thousand, nine hundred ninety-three".