2981 has 4 divisors (see below), whose sum is σ = 3264. Its totient is φ = 2700.

The previous prime is 2971. The next prime is 2999. The reversal of 2981 is 1892.

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 a cyclic number.

It is not a de Polignac number, because 2981 - 2⁶ = 2917 is a prime.

It is a super-2 number, since 2×2981² = 17772722, which contains 22 as substring.

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

It is a deceptive number, since it divides R₂₉₈₀.

It is a Duffinian number.

It is a plaindrome in base 7 and base 14.

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 (2971) 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, 125 + ... + 146.

It is an arithmetic number, because the mean of its divisors is an integer number (816).

2²⁹⁸¹ is an apocalyptic number.

It is an amenable number.

2981 is a deficient number, since it is larger than the sum of its proper divisors (283).

2981 is a wasteful number, since it uses less digits than its factorization.

2981 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282.

The product of its digits is 144, while the sum is 20.

The square root of 2981 is about 54.5985347789. The cubic root of 2981 is about 14.3919837070.

Adding to 2981 its product of digits (144), we get a 5-th power (3125 = 5⁵).

Subtracting from 2981 its reverse (1892), we obtain a square (1089 = 33²).

The spelling of 2981 in words is "two thousand, nine hundred eighty-one".