11577 has 8 divisors (see below), whose sum is σ = 16416. Its totient is φ = 7232.

The previous prime is 11551. The next prime is 11579. The reversal of 11577 is 77511.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 11577 - 2⁸ = 11321 is a prime.

11577 is a lucky number.

It is a plaindrome in base 10 and base 15.

It is a nialpdrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11579) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63 + ... + 164.

It is an arithmetic number, because the mean of its divisors is an integer number (2052).

2¹¹⁵⁷⁷ is an apocalyptic number.

11577 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

11577 is a deficient number, since it is larger than the sum of its proper divisors (4839).

11577 is a wasteful number, since it uses less digits than its factorization.

11577 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247.

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

The square root of 11577 is about 107.5964683435. The cubic root of 11577 is about 22.6220527687.

The spelling of 11577 in words is "eleven thousand, five hundred seventy-seven".