10290267 has 32 divisors (see below), whose sum is σ = 17292800. Its totient is φ = 5995296.

The previous prime is 10290263. The next prime is 10290277. The reversal of 10290267 is 76209201.

10290267 is nontrivially palindromic in base 14.

It is not a de Polignac number, because 10290267 - 2² = 10290263 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 10290267.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10290263) 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 31 ways as a sum of consecutive naturals, for example, 5898 + ... + 7440.

It is an arithmetic number, because the mean of its divisors is an integer number (540400).

Almost surely, 2^10290267 is an apocalyptic number.

10290267 is a deficient number, since it is larger than the sum of its proper divisors (7002533).

10290267 is a wasteful number, since it uses less digits than its factorization.

10290267 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1584 (or 1578 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 10290267 is about 3207.8446034682. The cubic root of 10290267 is about 217.5081566501.

Adding to 10290267 its reverse (76209201), we get a palindrome (86499468).

The spelling of 10290267 in words is "ten million, two hundred ninety thousand, two hundred sixty-seven".