1135 has 4 divisors (see below), whose sum is σ = 1368. Its totient is φ = 904.

The previous prime is 1129. The next prime is 1151. The reversal of 1135 is 5311.

Adding to 1135 its reverse (5311), we get a palindrome (6446).

It can be divided in two parts, 113 and 5, that multiplied together give a palindrome (565).

1135 = T_{26} + T_{27} +
T_{28}.

1135 = 13^{2} + 14^{2} + ... + 17^{2}.

1135 is nontrivially palindromic in base 12.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 5311 = 47 ⋅113.

It is a cyclic number.

It is not a de Polignac number, because 1135 - 2^{5} = 1103 is a prime.

It is a Duffinian number.

1135 is an undulating number in base 12.

It is a plaindrome in base 10 and base 16.

It is a nialpdrome in base 7 and base 11.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 109 + ... + 118.

It is an arithmetic number, because the mean of its divisors is an integer number (342).

2^{1135} is an apocalyptic number.

1135 is the 28-th centered triangular number.

1135 is a deficient number, since it is larger than the sum of its proper divisors (233).

1135 is an equidigital number, since it uses as much as digits as its factorization.

1135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232.

The product of its digits is 15, while the sum is 10.

The square root of 1135 is about 33.6897610558. The cubic root of 1135 is about 10.4311443133.

The spelling of 1135 in words is "one thousand, one hundred thirty-five".

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