8457 has 4 divisors (see below), whose sum is σ = 11280. Its totient is φ = 5636.

The previous prime is 8447. The next prime is 8461. The reversal of 8457 is 7548.

8457 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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.

It is a cyclic number.

It is not a de Polignac number, because 8457 - 2⁷ = 8329 is a prime.

It is a D-number.

It is a plaindrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (8447) 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, 1407 + ... + 1412.

It is an arithmetic number, because the mean of its divisors is an integer number (2820).

2⁸⁴⁵⁷ is an apocalyptic number.

It is an amenable number.

8457 is a deficient number, since it is larger than the sum of its proper divisors (2823).

8457 is a wasteful number, since it uses less digits than its factorization.

8457 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2822.

The product of its digits is 1120, while the sum is 24.

The square root of 8457 is about 91.9619486527. The cubic root of 8457 is about 20.3738033598.

Subtracting from 8457 its product of digits (1120), we obtain a palindrome (7337).

Subtracting from 8457 its reverse (7548), we obtain a palindrome (909).

It can be divided in two parts, 84 and 57, that added together give a palindrome (141).

The spelling of 8457 in words is "eight thousand, four hundred fifty-seven".