11745 has 20 divisors (see below), whose sum is σ = 21780. Its totient is φ = 6048.

The previous prime is 11743. The next prime is 11777. The reversal of 11745 is 54711.

It can be written as a sum of positive squares in 2 ways, for example, as 5184 + 6561 = 72^2 + 81^2 .

It is not a de Polignac number, because 11745 - 2¹ = 11743 is a prime.

11745 is an undulating number in base 12.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 11745.

It is not an unprimeable number, because it can be changed into a prime (11743) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 391 + ... + 419.

It is an arithmetic number, because the mean of its divisors is an integer number (1089).

2¹¹⁷⁴⁵ is an apocalyptic number.

11745 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11745 is a deficient number, since it is larger than the sum of its proper divisors (10035).

11745 is an equidigital number, since it uses as much as digits as its factorization.

11745 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46 (or 37 counting only the distinct ones).

The product of its digits is 140, while the sum is 18.

The square root of 11745 is about 108.3743512091. The cubic root of 11745 is about 22.7309545550.

The spelling of 11745 in words is "eleven thousand, seven hundred forty-five".