1333 has 4 divisors (see below), whose sum is σ = 1408. Its totient is φ = 1260.

The previous prime is 1327. The next prime is 1361. The reversal of 1333 is 3331.

Adding to 1333 its reverse (3331), we get a palindrome (4664).

It can be divided in two parts, 133 and 3, that added together give a triangular number (136 = T_{16}).

It is a happy number.

1333 is nontrivially palindromic in base 6, base 13 and base 16.

1333 is an esthetic number in base 6, because in such base its adjacent digits differ by 1.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also a brilliant number, because the two primes have the same length.

It is a cyclic number.

It is not a de Polignac number, because 1333 - 2^{5} = 1301 is a prime.

It is the 37-th Hogben number.

It is a Duffinian number.

1333 is an undulating number in base 6, base 13 and base 16.

1333 is a modest number, since divided by 33 gives 13 as remainder.

It is a plaindrome in base 10 and base 15.

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1303) by changing a digit.

It is a nontrivial repunit in base 36.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10 + ... + 52.

It is an arithmetic number, because the mean of its divisors is an integer number (352).

It is a 18-hyperperfect number.

2^{1333} is an apocalyptic number.

It is an amenable number.

1333 is a deficient number, since it is larger than the sum of its proper divisors (75).

1333 is an equidigital number, since it uses as much as digits as its factorization.

1333 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74.

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

The square root of 1333 is about 36.5102725271. The cubic root of 1333 is about 11.0055068845.

The spelling of 1333 in words is "one thousand, three hundred thirty-three".

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