2989 has 6 divisors (see below), whose sum is σ = 3534. Its totient is φ = 2520.

The previous prime is 2971. The next prime is 2999. The reversal of 2989 is 9892.

2989 = 4^{3} + 5^{3} + ... + 10^{3}.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 1764 + 1225 = 42^2 + 35^2 .

It is not a de Polignac number, because 2989 - 2^{5} = 2957 is a prime.

It is an alternating number because its digits alternate between even and odd.

It is a Duffinian number.

It is a plaindrome in base 11, base 13 and base 14.

It is a nialpdrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2909) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 19 + ... + 79.

It is an arithmetic number, because the mean of its divisors is an integer number (589).

It is an amenable number.

2989 is a deficient number, since it is larger than the sum of its proper divisors (545).

2989 is an equidigital number, since it uses as much as digits as its factorization.

2989 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 68 counting only the distinct ones).

The product of its digits is 1296, while the sum is 28.

The square root of 2989 is about 54.6717477313. The cubic root of 2989 is about 14.4048466196.

Subtracting 2989 from its reverse (9892), we obtain a triangular number (6903 = T_{117}).

The spelling of 2989 in words is "two thousand, nine hundred eighty-nine".

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