3133 has 4 divisors (see below), whose sum is σ = 3388. Its totient is φ = 2880.

The previous prime is 3121. The next prime is 3137. The reversal of 3133 is 3313.

Adding to 3133 its product of digits (27), we get a triangular number (3160 = T_{79}).

Adding to 3133 its reverse (3313), we get a palindrome (6446).

It can be divided in two parts, 313 and 3, that multiplied together give a palindrome (939).

It is a happy number.

3133 is nontrivially palindromic in base 12 and base 15.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 1369 + 1764 = 37^2 + 42^2 .

It is a cyclic number.

It is not a de Polignac number, because 3133 - 2^{9} = 2621 is a prime.

It is a Duffinian number.

3133 is a modest number, since divided by 33 gives 31 as remainder.

3133 is a lucky number.

3133 is a nontrivial repdigit in base 15.

It is a plaindrome in base 11 and base 15.

It is a nialpdrome in base 15.

It is a zygodrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3137) 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 in 3 ways as a sum of consecutive naturals, for example, 108 + ... + 133.

It is an arithmetic number, because the mean of its divisors is an integer number (847).

It is an amenable number.

3133 is a deficient number, since it is larger than the sum of its proper divisors (255).

3133 is a wasteful number, since it uses less digits than its factorization.

3133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254.

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

The square root of 3133 is about 55.9732078766. The cubic root of 3133 is about 14.6325538692.

The spelling of 3133 in words is "three thousand, one hundred thirty-three".

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