2982137 has 2 divisors, whose sum is σ = 2982138. Its totient is φ = 2982136.

The previous prime is 2982121. The next prime is 2982139. The reversal of 2982137 is 7312892.

2982137 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2421136 + 561001 = 1556^2 + 749^2 .

It is a cyclic number.

It is not a de Polignac number, because 2982137 - 2⁴ = 2982121 is a prime.

Together with 2982139, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (2982139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1491068 + 1491069.

It is an arithmetic number, because the mean of its divisors is an integer number (1491069).

2^2982137 is an apocalyptic number.

It is an amenable number.

2982137 is a deficient number, since it is larger than the sum of its proper divisors (1).

2982137 is an equidigital number, since it uses as much as digits as its factorization.

2982137 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 6048, while the sum is 32.

The square root of 2982137 is about 1726.8865046667. The cubic root of 2982137 is about 143.9381325026.

The spelling of 2982137 in words is "two million, nine hundred eighty-two thousand, one hundred thirty-seven".