8757 has 12 divisors (see below), whose sum is σ = 14560. Its totient is φ = 4968.

The previous prime is 8753. The next prime is 8761. The reversal of 8757 is 7578.

It is an interprime number because it is at equal distance from previous prime (8753) and next prime (8761).

It is not a de Polignac number, because 8757 - 2² = 8753 is a prime.

8757 is a lucky number.

It is a plaindrome in base 16.

It is a nialpdrome in base 11.

It is a self number, because there is not a number n which added to its sum of digits gives 8757.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8753) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7 + ... + 132.

2⁸⁷⁵⁷ is an apocalyptic number.

It is an amenable number.

8757 is a deficient number, since it is larger than the sum of its proper divisors (5803).

8757 is a wasteful number, since it uses less digits than its factorization.

8757 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 149 counting only the distinct ones).

The product of its digits is 1960, while the sum is 27.

The square root of 8757 is about 93.5788437629. The cubic root of 8757 is about 20.6119200814.

It can be divided in two parts, 87 and 57, that added together give a square (144 = 12²).

The spelling of 8757 in words is "eight thousand, seven hundred fifty-seven".