Search a number
100333 is a prime number

100333 has 2 divisors, whose sum is σ = 100334. Its totient is φ = 100332.

The previous prime is 100313. The next prime is 100343. The reversal of 100333 is 333001.

Adding to 100333 its reverse (333001), we get a palindrome (433334).

It is a happy number.

It is an a-pointer prime, because the next prime (100343) can be obtained adding 100333 to its sum of digits (10).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 94249 + 6084 = 307^2 + 78^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-100333 is a prime.

100333 is a modest number, since divided by 333 gives 100 as remainder.

100333 is a lucky number.

It is a plaindrome in base 13.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50166 + 50167.

It is an arithmetic number, because the mean of its divisors is an integer number (50167).

2100333 is an apocalyptic number.

It is an amenable number.

100333 is a deficient number, since it is larger than the sum of its proper divisors (1).

100333 is an equidigital number, since it uses as much as digits as its factorization.

100333 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27, while the sum is 10.

The square root of 100333 is about 316.7538476483. The cubic root of 100333 is about 46.4673528887.

The spelling of 100333 in words is "one hundred thousand, three hundred thirty-three".