2993 has 4 divisors (see below), whose sum is σ = 3108. Its totient is φ = 2880.

The previous prime is 2971. The next prime is 2999. The reversal of 2993 is 3992.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in 2 ways, for example, as 784 + 2209 = 28^2 + 47^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^{k}-2993 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a plaindrome in base 14.

It is a nialpdrome in base 16.

It is an inconsummate number, since it does not exist a number *n* which divided by its sum of digits gives 2993.

It is not an unprimeable number, because it can be changed into a prime (2999) 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, 5 + ... + 77.

It is an arithmetic number, because the mean of its divisors is an integer number (777).

It is an amenable number.

2993 is a deficient number, since it is larger than the sum of its proper divisors (115).

2993 is an equidigital number, since it uses as much as digits as its factorization.

2993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114.

The product of its digits is 486, while the sum is 23.

The square root of 2993 is about 54.7083174664. The cubic root of 2993 is about 14.4112694704.

Subtracting 2993 from its reverse (3992), we obtain a palindrome (999).

The spelling of 2993 in words is "two thousand, nine hundred ninety-three".

• e-mail: info -at- numbersaplenty.com • Privacy notice • done in 0.096 sec. • engine limits •