10267257 has 48 divisors (see below), whose sum is σ = 18551808. Its totient is φ = 4904640.

The previous prime is 10267253. The next prime is 10267259. The reversal of 10267257 is 75276201.

It is not a de Polignac number, because 10267257 - 2² = 10267253 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10267253) 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 47 ways as a sum of consecutive naturals, for example, 38908 + ... + 39170.

It is an arithmetic number, because the mean of its divisors is an integer number (386496).

Almost surely, 2^10267257 is an apocalyptic number.

It is an amenable number.

10267257 is a deficient number, since it is larger than the sum of its proper divisors (8284551).

10267257 is a wasteful number, since it uses less digits than its factorization.

10267257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 30.

The square root of 10267257 is about 3204.2560759090. The cubic root of 10267257 is about 217.3459127947.

The spelling of 10267257 in words is "ten million, two hundred sixty-seven thousand, two hundred fifty-seven".