10222767 has 28 divisors (see below), whose sum is σ = 15782920. Its totient is φ = 6613488.

The previous prime is 10222759. The next prime is 10222769. The reversal of 10222767 is 76722201.

It is not a de Polignac number, because 10222767 - 2³ = 10222759 is a prime.

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

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10222767.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10222769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 26784 + ... + 27162.

Almost surely, 2^10222767 is an apocalyptic number.

10222767 is a deficient number, since it is larger than the sum of its proper divisors (5560153).

10222767 is an frugal number, since it uses more digits than its factorization.

10222767 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 10222767 is about 3197.3062099211. The cubic root of 10222767 is about 217.0315243688.

Adding to 10222767 its reverse (76722201), we get a palindrome (86944968).

The spelling of 10222767 in words is "ten million, two hundred twenty-two thousand, seven hundred sixty-seven".