13006877 has 8 divisors (see below), whose sum is σ = 14490840. Its totient is φ = 11592000.

The previous prime is 13006871. The next prime is 13006879. The reversal of 13006877 is 77860031.

It is a happy number.

13006877 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 763876 + 12243001 = 874^2 + 3499^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 13006877 - 2¹⁴ = 12990493 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13006871) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16874 + ... + 17627.

It is an arithmetic number, because the mean of its divisors is an integer number (1811355).

Almost surely, 2^13006877 is an apocalyptic number.

It is an amenable number.

13006877 is a deficient number, since it is larger than the sum of its proper divisors (1483963).

13006877 is a wasteful number, since it uses less digits than its factorization.

13006877 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34543.

The product of its (nonzero) digits is 7056, while the sum is 32.

The square root of 13006877 is about 3606.5048176871. The cubic root of 13006877 is about 235.1749233314.

It can be divided in two parts, 1300 and 6877, that multiplied together give a square (8940100 = 2990²).

The spelling of 13006877 in words is "thirteen million, six thousand, eight hundred seventy-seven".