2933 has 4 divisors (see below), whose sum is σ = 3360. Its totient is φ = 2508.

The previous prime is 2927. The next prime is 2939. The reversal of 2933 is 3392.

It is a happy number.

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.

It is an interprime number because it is at equal distance from previous prime (2927) and next prime (2939).

It is a cyclic number.

It is not a de Polignac number, because 2933 - 2^{4} = 2917 is a prime.

It is a d-powerful number, because it can be written as **2**^{3} + **3**^{6} + **9** + **3**^{7} .

2933 is a modest number, since divided by 33 gives 29 as remainder.

It is a Curzon number.

It is a plaindrome in base 11 and base 13.

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2939) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 203 + ... + 216.

It is an arithmetic number, because the mean of its divisors is an integer number (840).

2^{2933} is an apocalyptic number.

It is an amenable number.

2933 is a deficient number, since it is larger than the sum of its proper divisors (427).

2933 is an equidigital number, since it uses as much as digits as its factorization.

2933 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426.

The product of its digits is 162, while the sum is 17.

The square root of 2933 is about 54.1571786562. The cubic root of 2933 is about 14.3143188767.

Subtracting from 2933 its sum of digits (17), we obtain a square (2916 = 54^{2}).

The spelling of 2933 in words is "two thousand, nine hundred thirty-three".

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