2267967 has 8 divisors (see below), whose sum is σ = 3256624. Its totient is φ = 1395648.

The previous prime is 2267933. The next prime is 2267971. The reversal of 2267967 is 7697622.

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

It is not a de Polignac number, because 2267967 - 2¹⁵ = 2235199 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39), and also a Moran number because the ratio is a prime number: 58153 = 2267967 / (2 + 2 + 6 + 7 + 9 + 6 + 7).

It is a d-powerful number, because it can be written as 2⁹ + 2¹⁹ + 6⁶ + 7 + 9² + 6⁸ + 7⁵ .

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2267917) 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 7 ways as a sum of consecutive naturals, for example, 29038 + ... + 29115.

It is an arithmetic number, because the mean of its divisors is an integer number (407078).

2^2267967 is an apocalyptic number.

2267967 is a deficient number, since it is larger than the sum of its proper divisors (988657).

2267967 is a wasteful number, since it uses less digits than its factorization.

2267967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58169.

The product of its digits is 63504, while the sum is 39.

The square root of 2267967 is about 1505.9770914592. The cubic root of 2267967 is about 131.3849369619.

The spelling of 2267967 in words is "two million, two hundred sixty-seven thousand, nine hundred sixty-seven".