8157 has 4 divisors (see below), whose sum is σ = 10880. Its totient is φ = 5436.

The previous prime is 8147. The next prime is 8161. The reversal of 8157 is 7518.

8157 = T₃₈ + T₃₉ + ... + T₄₆.

It is a happy number.

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 not a de Polignac number, because 8157 - 2⁶ = 8093 is a prime.

It is a D-number.

It is a Duffinian number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 8157.

It is not an unprimeable number, because it can be changed into a prime (8117) 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 3 ways as a sum of consecutive naturals, for example, 1357 + ... + 1362.

It is an arithmetic number, because the mean of its divisors is an integer number (2720).

2⁸¹⁵⁷ is an apocalyptic number.

It is an amenable number.

8157 is a deficient number, since it is larger than the sum of its proper divisors (2723).

8157 is a wasteful number, since it uses less digits than its factorization.

8157 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2722.

The product of its digits is 280, while the sum is 21.

The square root of 8157 is about 90.3161115195. The cubic root of 8157 is about 20.1299866763.

The spelling of 8157 in words is "eight thousand, one hundred fifty-seven".