2012767 has 2 divisors, whose sum is σ = 2012768. Its totient is φ = 2012766.

The previous prime is 2012743. The next prime is 2012789. The reversal of 2012767 is 7672102.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 2012767 - 2⁷ = 2012639 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2012167) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1006383 + 1006384.

It is an arithmetic number, because the mean of its divisors is an integer number (1006384).

2^2012767 is an apocalyptic number.

2012767 is a deficient number, since it is larger than the sum of its proper divisors (1).

2012767 is an equidigital number, since it uses as much as digits as its factorization.

2012767 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1176, while the sum is 25.

The square root of 2012767 is about 1418.7201979249. The cubic root of 2012767 is about 126.2596267534.

Adding to 2012767 its reverse (7672102), we get a palindrome (9684869).

The spelling of 2012767 in words is "two million, twelve thousand, seven hundred sixty-seven".