13077 has 6 divisors (see below), whose sum is σ = 18902. Its totient is φ = 8712.

The previous prime is 13063. The next prime is 13093. The reversal of 13077 is 77031.

13077 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 12996 + 81 = 114^2 + 9^2 .

It is not a de Polignac number, because 13077 - 2⁸ = 12821 is a prime.

It is a Duffinian number.

13077 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 718 + ... + 735.

2¹³⁰⁷⁷ is an apocalyptic number.

It is an amenable number.

13077 is a deficient number, since it is larger than the sum of its proper divisors (5825).

13077 is a wasteful number, since it uses less digits than its factorization.

13077 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1459 (or 1456 counting only the distinct ones).

The product of its (nonzero) digits is 147, while the sum is 18.

The square root of 13077 is about 114.3547113153. The cubic root of 13077 is about 23.5596793078.

The spelling of 13077 in words is "thirteen thousand, seventy-seven".