13755764 has 36 divisors (see below), whose sum is σ = 26823972. Its totient is φ = 6167040.

The previous prime is 13755761. The next prime is 13755769. The reversal of 13755764 is 46755731.

It can be written as a sum of positive squares in 2 ways, for example, as 10176100 + 3579664 = 3190^2 + 1892^2 .

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13755761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46802 + ... + 47094.

Almost surely, 2^13755764 is an apocalyptic number.

It is an amenable number.

13755764 is a deficient number, since it is larger than the sum of its proper divisors (13068208).

13755764 is a wasteful number, since it uses less digits than its factorization.

13755764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 403 counting only the distinct ones).

The product of its digits is 88200, while the sum is 38.

The square root of 13755764 is about 3708.8763797139. The cubic root of 13755764 is about 239.6044642299.

It can be divided in two parts, 13755 and 764, that multiplied together give a triangular number (10508820 = T₄₅₈₄).

The spelling of 13755764 in words is "thirteen million, seven hundred fifty-five thousand, seven hundred sixty-four".