2135167 has 2 divisors, whose sum is σ = 2135168. Its totient is φ = 2135166.

The previous prime is 2135153. The next prime is 2135173. The reversal of 2135167 is 7615312.

2135167 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 is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2135167 is a prime.

2135167 is a lucky number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2135117) 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, 1067583 + 1067584.

It is an arithmetic number, because the mean of its divisors is an integer number (1067584).

2^2135167 is an apocalyptic number.

2135167 is a deficient number, since it is larger than the sum of its proper divisors (1).

2135167 is an equidigital number, since it uses as much as digits as its factorization.

2135167 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1260, while the sum is 25.

The square root of 2135167 is about 1461.2210647263. The cubic root of 2135167 is about 128.7687904205.

The spelling of 2135167 in words is "two million, one hundred thirty-five thousand, one hundred sixty-seven".