10005257 has 4 divisors (see below), whose sum is σ = 10047360. Its totient is φ = 9963156.

The previous prime is 10005251. The next prime is 10005263. The reversal of 10005257 is 75250001.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 75250001 = 463 ⋅162527.

It is an interprime number because it is at equal distance from previous prime (10005251) and next prime (10005263).

It is a cyclic number.

It is not a de Polignac number, because 10005257 - 2⁴ = 10005241 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10005251) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 20693 + ... + 21170.

It is an arithmetic number, because the mean of its divisors is an integer number (2511840).

Almost surely, 2^10005257 is an apocalyptic number.

It is an amenable number.

10005257 is a deficient number, since it is larger than the sum of its proper divisors (42103).

10005257 is an equidigital number, since it uses as much as digits as its factorization.

10005257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42102.

The product of its (nonzero) digits is 350, while the sum is 20.

The square root of 10005257 is about 3163.1087556390. The cubic root of 10005257 is about 215.4812152668.

Adding to 10005257 its reverse (75250001), we get a palindrome (85255258).

The spelling of 10005257 in words is "ten million, five thousand, two hundred fifty-seven".