11731 has 2 divisors, whose sum is σ = 11732. Its totient is φ = 11730.
The previous prime is 11719. The next prime is 11743. The reversal of 11731 is 13711.
It is a balanced prime because it is at equal distance from previous prime (11719) and next prime (11743).
It is an emirp because it is prime and its reverse (13711) is a distict prime.
It is a cyclic number.
It is not a de Polignac number, because 11731 - 25 = 11699 is a prime.
It is a super-2 number, since 2×117312 = 275232722, which contains 22 as substring.
It is a Chen prime.
11731 is a lucky number.
It is equal to p1408 and since 11731 and 1408 have the same sum of digits, it is a Honaker prime.
It is not a weakly prime, because it can be changed into another prime (11701) by changing a digit.
It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5865 + 5866.
It is an arithmetic number, because the mean of its divisors is an integer number (5866).
211731 is an apocalyptic number.
11731 is the 69-th centered pentagonal number.
11731 is a deficient number, since it is larger than the sum of its proper divisors (1).
11731 is an equidigital number, since it uses as much as digits as its factorization.
11731 is an odious number, because the sum of its binary digits is odd.
The product of its digits is 21, while the sum is 13.
The square root of 11731 is about 108.3097410208. The cubic root of 11731 is about 22.7219192239.
The spelling of 11731 in words is "eleven thousand, seven hundred thirty-one".
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