11757 has 4 divisors (see below), whose sum is σ = 15680. Its totient is φ = 7836.

The previous prime is 11743. The next prime is 11777. The reversal of 11757 is 75711.

11757 is nontrivially palindromic in base 2 and base 7.

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, and also an emirpimes, since its reverse is a distinct semiprime: 75711 = 3 ⋅25237.

It is not a de Polignac number, because 11757 - 2¹⁰ = 10733 is a prime.

It is an Ulam number.

It is a D-number.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11717) 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, 1957 + ... + 1962.

It is an arithmetic number, because the mean of its divisors is an integer number (3920).

2¹¹⁷⁵⁷ is an apocalyptic number.

It is an amenable number.

11757 is a deficient number, since it is larger than the sum of its proper divisors (3923).

11757 is an equidigital number, since it uses as much as digits as its factorization.

11757 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3922.

The product of its digits is 245, while the sum is 21.

The square root of 11757 is about 108.4297007282. The cubic root of 11757 is about 22.7386934115.

The spelling of 11757 in words is "eleven thousand, seven hundred fifty-seven".