11013829 has 2 divisors, whose sum is σ = 11013830. Its totient is φ = 11013828.

The previous prime is 11013811. The next prime is 11013853. The reversal of 11013829 is 92831011.

11013829 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6749604 + 4264225 = 2598^2 + 2065^2 .

It is a cyclic number.

It is not a de Polignac number, because 11013829 - 2¹³ = 11005637 is a prime.

It is equal to p₇₂₇₃₆₀ and since 11013829 and 727360 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11013889) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5506914 + 5506915.

It is an arithmetic number, because the mean of its divisors is an integer number (5506915).

Almost surely, 2^11013829 is an apocalyptic number.

It is an amenable number.

11013829 is a deficient number, since it is larger than the sum of its proper divisors (1).

11013829 is an equidigital number, since it uses as much as digits as its factorization.

11013829 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 432, while the sum is 25.

The square root of 11013829 is about 3318.7089357158. The cubic root of 11013829 is about 222.4911682729.

The spelling of 11013829 in words is "eleven million, thirteen thousand, eight hundred twenty-nine".