8005257 has 16 divisors (see below), whose sum is σ = 12772480. Its totient is φ = 4926096.

The previous prime is 8005243. The next prime is 8005271. The reversal of 8005257 is 7525008.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (8005243) and next prime (8005271).

It is not a de Polignac number, because 8005257 - 2⁴ = 8005241 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 8005257.

It is not an unprimeable number, because it can be changed into a prime (8005757) 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 15 ways as a sum of consecutive naturals, for example, 11053 + ... + 11754.

It is an arithmetic number, because the mean of its divisors is an integer number (798280).

Almost surely, 2^8005257 is an apocalyptic number.

It is an amenable number.

8005257 is a deficient number, since it is larger than the sum of its proper divisors (4767223).

8005257 is a wasteful number, since it uses less digits than its factorization.

8005257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22829 (or 22823 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 8005257 is about 2829.3562872145. The cubic root of 8005257 is about 200.0437987410.

Subtracting from 8005257 its reverse (7525008), we obtain a square (480249 = 693²).

The spelling of 8005257 in words is "eight million, five thousand, two hundred fifty-seven".