13782753 has 12 divisors (see below), whose sum is σ = 19985940. Its totient is φ = 9152736.

The previous prime is 13782749. The next prime is 13782757. The reversal of 13782753 is 35728731.

13782753 is digitally balanced in base 2, base 3 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13782749) and next prime (13782757).

It can be written as a sum of positive squares in 2 ways, for example, as 1272384 + 12510369 = 1128^2 + 3537^2 .

It is not a de Polignac number, because 13782753 - 2² = 13782749 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13782757) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 426 + ... + 5267.

It is an arithmetic number, because the mean of its divisors is an integer number (1665495).

Almost surely, 2^13782753 is an apocalyptic number.

It is an amenable number.

13782753 is a deficient number, since it is larger than the sum of its proper divisors (6203187).

13782753 is a wasteful number, since it uses less digits than its factorization.

13782753 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5968 (or 5965 counting only the distinct ones).

The product of its digits is 35280, while the sum is 36.

The square root of 13782753 is about 3712.5130302802. The cubic root of 13782753 is about 239.7610642861.

It can be divided in two parts, 13782 and 753, that added together give a triangular number (14535 = T₁₇₀).

The spelling of 13782753 in words is "thirteen million, seven hundred eighty-two thousand, seven hundred fifty-three".