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1137 = 3379
BaseRepresentation
bin10001110001
31120010
4101301
514022
65133
73213
oct2161
91503
101137
11944
127a9
13696
145b3
1550c
hex471

1137 has 4 divisors (see below), whose sum is σ = 1520. Its totient is φ = 756.

The previous prime is 1129. The next prime is 1151. The reversal of 1137 is 7311.

Adding to 1137 its reverse (7311), we get a palindrome (8448).

It can be divided in two parts, 113 and 7, that added together give a triangular number (120 = T15).

1137 is nontrivially palindromic in base 2 and base 13.

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: 7311 = 32437.

It is not a de Polignac number, because 1137 - 23 = 1129 is a prime.

It is a D-number.

It is a Duffinian number.

1137 is an undulating number in base 13.

It is a plaindrome in base 10.

It is a nialpdrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (1117) 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, 187 + ... + 192.

It is an arithmetic number, because the mean of its divisors is an integer number (380).

It is an amenable number.

1137 is a deficient number, since it is larger than the sum of its proper divisors (383).

1137 is an equidigital number, since it uses as much as digits as its factorization.

1137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382.

The product of its digits is 21, while the sum is 12.

The square root of 1137 is about 33.7194306002. The cubic root of 1137 is about 10.4372676750.

The spelling of 1137 in words is "one thousand, one hundred thirty-seven".

Divisors: 1 3 379 1137