80257 has 4 divisors (see below), whose sum is σ = 84996. Its totient is φ = 75520.

The previous prime is 80251. The next prime is 80263. The reversal of 80257 is 75208.

It is a semiprime because it is the product of two primes.

It is an interprime number because it is at equal distance from previous prime (80251) and next prime (80263).

It can be written as a sum of positive squares in 2 ways, for example, as 53361 + 26896 = 231^2 + 164^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-80257 is a prime.

It is a Smith number, since the sum of its digits (22) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a nialpdrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (80251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2344 + ... + 2377.

It is an arithmetic number, because the mean of its divisors is an integer number (21249).

2⁸⁰²⁵⁷ is an apocalyptic number.

It is an amenable number.

80257 is a deficient number, since it is larger than the sum of its proper divisors (4739).

80257 is a wasteful number, since it uses less digits than its factorization.

80257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4738.

The product of its (nonzero) digits is 560, while the sum is 22.

The square root of 80257 is about 283.2966642938. The cubic root of 80257 is about 43.1347852891.

Subtracting from 80257 its product of nonzero digits (560), we obtain a palindrome (79697).

The spelling of 80257 in words is "eighty thousand, two hundred fifty-seven".