2230767 has 64 divisors (see below), whose sum is σ = 4377600. Its totient is φ = 1088640.

The previous prime is 2230759. The next prime is 2230777. The reversal of 2230767 is 7670322.

2230767 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2230767 - 2³ = 2230759 is a prime.

It is a super-3 number, since 3×2230767³ = 33303040737013882989, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a d-powerful number, because it can be written as 2¹⁷ + 2²¹ + 3⁷ + 0 + 7 + 6 + 7³ .

It is a self number, because there is not a number n which added to its sum of digits gives 2230767.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2230727) 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 63 ways as a sum of consecutive naturals, for example, 60273 + ... + 60309.

It is an arithmetic number, because the mean of its divisors is an integer number (68400).

2^2230767 is an apocalyptic number.

2230767 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

2230767 is a deficient number, since it is larger than the sum of its proper divisors (2146833).

2230767 is a wasteful number, since it uses less digits than its factorization.

2230767 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 2230767 is about 1493.5752408232. The cubic root of 2230767 is about 130.6626324880.

2230767 divided by its sum of digits (27) gives a triangular number (82621 = T₄₀₆).

The spelling of 2230767 in words is "two million, two hundred thirty thousand, seven hundred sixty-seven".