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7333 is a prime number

7333 has 2 divisors, whose sum is σ = 7334. Its totient is φ = 7332.

The previous prime is 7331. The next prime is 7349. The reversal of 7333 is 3337.

It is an a-pointer prime, because the next prime (7349) can be obtained adding 7333 to its sum of digits (16).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3969 + 3364 = 63^2 + 58^2 .

7333 is a truncatable prime.

It is a cyclic number.

It is not a de Polignac number, because 7333 - 21 = 7331 is a prime.

Together with 7331, it forms a pair of twin primes.

7333 is a modest number, since divided by 333 gives 7 as remainder.

7333 is a lucky number.

It is a plaindrome in base 11 and base 15.

It is a nialpdrome in base 10.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (7331) 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, 3666 + 3667.

It is an arithmetic number, because the mean of its divisors is an integer number (3667).

27333 is an apocalyptic number.

It is an amenable number.

7333 is a deficient number, since it is larger than the sum of its proper divisors (1).

7333 is an equidigital number, since it uses as much as digits as its factorization.

7333 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 189, while the sum is 16.

The square root of 7333 is about 85.6329375883. The cubic root of 7333 is about 19.4279612389.

The spelling of 7333 in words is "seven thousand, three hundred thirty-three".