2782937 has 2 divisors, whose sum is σ = 2782938. Its totient is φ = 2782936.

The previous prime is 2782921. The next prime is 2782939. The reversal of 2782937 is 7392872.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2027776 + 755161 = 1424^2 + 869^2 .

It is a cyclic number.

It is not a de Polignac number, because 2782937 - 2⁴ = 2782921 is a prime.

Together with 2782939, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2782937.

It is not a weakly prime, because it can be changed into another prime (2782939) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1391468 + 1391469.

It is an arithmetic number, because the mean of its divisors is an integer number (1391469).

2^2782937 is an apocalyptic number.

It is an amenable number.

2782937 is a deficient number, since it is larger than the sum of its proper divisors (1).

2782937 is an equidigital number, since it uses as much as digits as its factorization.

2782937 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 42336, while the sum is 38.

The square root of 2782937 is about 1668.2137153255. The cubic root of 2782937 is about 140.6590861898.

The spelling of 2782937 in words is "two million, seven hundred eighty-two thousand, nine hundred thirty-seven".