13775 has 12 divisors (see below), whose sum is σ = 18600. Its totient is φ = 10080.

The previous prime is 13763. The next prime is 13781. The reversal of 13775 is 57731.

It is a happy number.

It is not a de Polignac number, because 13775 - 2⁴ = 13759 is a prime.

13775 is an undulating number in base 12.

It is a plaindrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 13775.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 461 + ... + 489.

It is an arithmetic number, because the mean of its divisors is an integer number (1550).

2¹³⁷⁷⁵ is an apocalyptic number.

13775 is a deficient number, since it is larger than the sum of its proper divisors (4825).

13775 is a wasteful number, since it uses less digits than its factorization.

With its successor (13776) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (53).

With its successor (13776) it forms an eRAP, since the sums of their prime factors are consecutive (58 and 59).

13775 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58 (or 53 counting only the distinct ones).

The product of its digits is 735, while the sum is 23.

The square root of 13775 is about 117.3669459431. The cubic root of 13775 is about 23.9716099486.

Subtracting 13775 from its reverse (57731), we obtain a triangular number (43956 = T₂₉₆).

It can be divided in two parts, 137 and 75, that added together give a palindrome (212).

The spelling of 13775 in words is "thirteen thousand, seven hundred seventy-five".