13506733 has 2 divisors, whose sum is σ = 13506734. Its totient is φ = 13506732.

The previous prime is 13506707. The next prime is 13506737. The reversal of 13506733 is 33760531.

13506733 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11202409 + 2304324 = 3347^2 + 1518^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-13506733 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13506737) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6753366 + 6753367.

It is an arithmetic number, because the mean of its divisors is an integer number (6753367).

Almost surely, 2^13506733 is an apocalyptic number.

It is an amenable number.

13506733 is a deficient number, since it is larger than the sum of its proper divisors (1).

13506733 is an equidigital number, since it uses as much as digits as its factorization.

13506733 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5670, while the sum is 28.

The square root of 13506733 is about 3675.1507452076. The cubic root of 13506733 is about 238.1497362950.

The spelling of 13506733 in words is "thirteen million, five hundred six thousand, seven hundred thirty-three".