2120767 has 12 divisors (see below), whose sum is σ = 2470608. Its totient is φ = 1812800.

The previous prime is 2120753. The next prime is 2120771. The reversal of 2120767 is 7670212.

2120767 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2120767 - 2⁷ = 2120639 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2120747) 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 in 11 ways as a sum of consecutive naturals, for example, 1542 + ... + 2572.

It is an arithmetic number, because the mean of its divisors is an integer number (205884).

2^2120767 is an apocalyptic number.

2120767 is a deficient number, since it is larger than the sum of its proper divisors (349841).

2120767 is a wasteful number, since it uses less digits than its factorization.

2120767 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1070 (or 1059 counting only the distinct ones).

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

The square root of 2120767 is about 1456.2853429188. The cubic root of 2120767 is about 128.4786562379.

Adding to 2120767 its reverse (7670212), we get a palindrome (9790979).

The spelling of 2120767 in words is "two million, one hundred twenty thousand, seven hundred sixty-seven".