2261967 has 8 divisors (see below), whose sum is σ = 3024000. Its totient is φ = 1503960.

The previous prime is 2261933. The next prime is 2261993. The reversal of 2261967 is 7691622.

2261967 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 2261967 - 2⁷ = 2261839 is a prime.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2261927) 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 7 ways as a sum of consecutive naturals, for example, 742 + ... + 2252.

It is an arithmetic number, because the mean of its divisors is an integer number (378000).

2^2261967 is an apocalyptic number.

2261967 is a deficient number, since it is larger than the sum of its proper divisors (762033).

2261967 is a wasteful number, since it uses less digits than its factorization.

2261967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2013.

The product of its digits is 9072, while the sum is 33.

The square root of 2261967 is about 1503.9837100182. The cubic root of 2261967 is about 131.2689732209.

The spelling of 2261967 in words is "two million, two hundred sixty-one thousand, nine hundred sixty-seven".