2561967 has 24 divisors (see below), whose sum is σ = 3891888. Its totient is φ = 1622400.

The previous prime is 2561963. The next prime is 2561969. The reversal of 2561967 is 7691652.

2561967 is a `hidden beast` number, since 2 + 561 + 96 + 7 = 666.

It is not a de Polignac number, because 2561967 - 2² = 2561963 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2561963) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19492 + ... + 19622.

It is an arithmetic number, because the mean of its divisors is an integer number (162162).

2^2561967 is an apocalyptic number.

2561967 is a deficient number, since it is larger than the sum of its proper divisors (1329921).

2561967 is a wasteful number, since it uses less digits than its factorization.

2561967 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 228 counting only the distinct ones).

The product of its digits is 22680, while the sum is 36.

The square root of 2561967 is about 1600.6145694701. The cubic root of 2561967 is about 136.8331034590.

The spelling of 2561967 in words is "two million, five hundred sixty-one thousand, nine hundred sixty-seven".