10267971 has 16 divisors (see below), whose sum is σ = 15788544. Its totient is φ = 5814144.

The previous prime is 10267937. The next prime is 10267973. The reversal of 10267971 is 17976201.

10267971 is digitally balanced in base 2, base 4 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10267971 - 2⁷ = 10267843 is a prime.

10267971 is strictly pandigital in base 8.

It is not an unprimeable number, because it can be changed into a prime (10267973) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 210 + ... + 4536.

It is an arithmetic number, because the mean of its divisors is an integer number (986784).

Almost surely, 2^10267971 is an apocalyptic number.

10267971 is a deficient number, since it is larger than the sum of its proper divisors (5520573).

10267971 is a wasteful number, since it uses less digits than its factorization.

10267971 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4450.

The product of its (nonzero) digits is 5292, while the sum is 33.

The square root of 10267971 is about 3204.3674882884. The cubic root of 10267971 is about 217.3509508617.

The spelling of 10267971 in words is "ten million, two hundred sixty-seven thousand, nine hundred seventy-one".