10267065 has 24 divisors (see below), whose sum is σ = 18844488. Its totient is φ = 5153280.

The previous prime is 10267063. The next prime is 10267069. The reversal of 10267065 is 56076201.

It can be written as a sum of positive squares in 4 ways, for example, as 4678569 + 5588496 = 2163^2 + 2364^2 .

It is not a de Polignac number, because 10267065 - 2¹ = 10267063 is a prime.

It is a super-4 number, since 4×10267065⁴ (a number of 29 digits) contains 4444 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (10267063) 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 23 ways as a sum of consecutive naturals, for example, 5946 + ... + 7475.

It is an arithmetic number, because the mean of its divisors is an integer number (785187).

Almost surely, 2^10267065 is an apocalyptic number.

10267065 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10267065 is a deficient number, since it is larger than the sum of its proper divisors (8577423).

10267065 is a wasteful number, since it uses less digits than its factorization.

10267065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13449 (or 13446 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 10267065 is about 3204.2261156167. The cubic root of 10267065 is about 217.3445579806.

The spelling of 10267065 in words is "ten million, two hundred sixty-seven thousand, sixty-five".