2605967 has 12 divisors (see below), whose sum is σ = 3265416. Its totient is φ = 2061360.

The previous prime is 2605949. The next prime is 2605979. The reversal of 2605967 is 7695062.

It is not a de Polignac number, because 2605967 - 2¹⁶ = 2540431 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2605927) 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 in 11 ways as a sum of consecutive naturals, for example, 1409 + ... + 2682.

It is an arithmetic number, because the mean of its divisors is an integer number (272118).

2^2605967 is an apocalyptic number.

2605967 is a deficient number, since it is larger than the sum of its proper divisors (659449).

2605967 is a wasteful number, since it uses less digits than its factorization.

2605967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4118 (or 4111 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 35.

The square root of 2605967 is about 1614.3007774266. The cubic root of 2605967 is about 137.6119991057.

The spelling of 2605967 in words is "two million, six hundred five thousand, nine hundred sixty-seven".