11137 has 8 divisors (see below), whose sum is σ = 13376. Its totient is φ = 9072.

The previous prime is 11131. The next prime is 11149. The reversal of 11137 is 73111.

11137 is nontrivially palindromic in base 6.

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

It is a de Polignac number, because none of the positive numbers 2^k-11137 is a prime.

It is a Duffinian number.

11137 is a lucky number.

It is a plaindrome in base 10 and base 15.

It is a nialpdrome in base 7 and base 12.

It is not an unprimeable number, because it can be changed into a prime (11131) 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, 238 + ... + 280.

It is an arithmetic number, because the mean of its divisors is an integer number (1672).

It is a Proth number, since it is equal to 87 ⋅ 2⁷ + 1 and 87 < 2⁷.

2¹¹¹³⁷ is an apocalyptic number.

It is an amenable number.

11137 is a deficient number, since it is larger than the sum of its proper divisors (2239).

11137 is an equidigital number, since it uses as much as digits as its factorization.

11137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87.

The product of its digits is 21, while the sum is 13.

The square root of 11137 is about 105.5319856726. The cubic root of 11137 is about 22.3317491018.

Adding to 11137 its reverse (73111), we get a palindrome (84248).

The spelling of 11137 in words is "eleven thousand, one hundred thirty-seven".