2982681 has 36 divisors (see below), whose sum is σ = 4881708. Its totient is φ = 1752192.

The previous prime is 2982673. The next prime is 2982689. The reversal of 2982681 is 1862892.

It is an interprime number because it is at equal distance from previous prime (2982673) and next prime (2982689).

It can be written as a sum of positive squares in 6 ways, for example, as 7056 + 2975625 = 84^2 + 1725^2 .

It is not a de Polignac number, because 2982681 - 2³ = 2982673 is a prime.

It is a super-2 number, since 2×2982681² = 17792771895522, which contains 22 as substring.

2982681 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (2982689) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 56251 + ... + 56303.

It is an arithmetic number, because the mean of its divisors is an integer number (135603).

2^2982681 is an apocalyptic number.

It is an amenable number.

2982681 is a deficient number, since it is larger than the sum of its proper divisors (1899027).

2982681 is a wasteful number, since it uses less digits than its factorization.

2982681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 106 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 2982681 is about 1727.0440063878. The cubic root of 2982681 is about 143.9468843454.

It can be divided in two parts, 2982 and 681, that added together give a palindrome (3663).

The spelling of 2982681 in words is "two million, nine hundred eighty-two thousand, six hundred eighty-one".