10757 has 4 divisors (see below), whose sum is σ = 11136. Its totient is φ = 10380.

The previous prime is 10753. The next prime is 10771. The reversal of 10757 is 75701.

10757 is an esthetic number in base 5, because in such base its adjacent digits differ by 1.

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 10757 - 2² = 10753 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10753) 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, 143 + ... + 204.

It is an arithmetic number, because the mean of its divisors is an integer number (2784).

2¹⁰⁷⁵⁷ is an apocalyptic number.

It is an amenable number.

10757 is a deficient number, since it is larger than the sum of its proper divisors (379).

10757 is an equidigital number, since it uses as much as digits as its factorization.

10757 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378.

The product of its (nonzero) digits is 245, while the sum is 20.

The square root of 10757 is about 103.7159582707. The cubic root of 10757 is about 22.0748141658.

It can be divided in two parts, 10 and 757, that added together give a palindrome (767).

The spelling of 10757 in words is "ten thousand, seven hundred fifty-seven".