13205823 has 4 divisors (see below), whose sum is σ = 17607768. Its totient is φ = 8803880.

The previous prime is 13205809. The next prime is 13205827. The reversal of 13205823 is 32850231.

13205823 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 32850231 = 3 ⋅10950077.

It is a cyclic number.

It is not a de Polignac number, because 13205823 - 2⁵ = 13205791 is a prime.

It is a super-2 number, since 2×13205823² = 348787522214658, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13205793 and 13205802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13205827) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2200968 + ... + 2200973.

It is an arithmetic number, because the mean of its divisors is an integer number (4401942).

Almost surely, 2^13205823 is an apocalyptic number.

13205823 is a deficient number, since it is larger than the sum of its proper divisors (4401945).

13205823 is an equidigital number, since it uses as much as digits as its factorization.

13205823 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4401944.

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 13205823 is about 3633.9817005593. The cubic root of 13205823 is about 236.3678967002.

It can be divided in two parts, 13205 and 823, that added together give a triangular number (14028 = T₁₆₇).

The spelling of 13205823 in words is "thirteen million, two hundred five thousand, eight hundred twenty-three".