8357 has 4 divisors (see below), whose sum is σ = 8556. Its totient is φ = 8160.

The previous prime is 8353. The next prime is 8363. The reversal of 8357 is 7538.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 7538 = 2 ⋅3769.

It can be written as a sum of positive squares in 2 ways, for example, as 2116 + 6241 = 46^2 + 79^2 .

It is a cyclic number.

It is not a de Polignac number, because 8357 - 2² = 8353 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8 + ... + 129.

It is an arithmetic number, because the mean of its divisors is an integer number (2139).

2⁸³⁵⁷ is an apocalyptic number.

It is an amenable number.

8357 is a deficient number, since it is larger than the sum of its proper divisors (199).

8357 is a wasteful number, since it uses less digits than its factorization.

8357 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198.

The product of its digits is 840, while the sum is 23.

The square root of 8357 is about 91.4166286843. The cubic root of 8357 is about 20.2931812377.

The spelling of 8357 in words is "eight thousand, three hundred fifty-seven".