13024935 has 96 divisors (see below), whose sum is σ = 29548800. Its totient is φ = 5382720.

The previous prime is 13024931. The next prime is 13024981. The reversal of 13024935 is 53942031.

13024935 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13024935 - 2² = 13024931 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 13024899 and 13024908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13024931) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 72676 + ... + 72854.

It is an arithmetic number, because the mean of its divisors is an integer number (307800).

Almost surely, 2^13024935 is an apocalyptic number.

13024935 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13024935 is an abundant number, since it is smaller than the sum of its proper divisors (16523865).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13024935 is a wasteful number, since it uses less digits than its factorization.

13024935 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 13024935 is about 3609.0074812890. The cubic root of 13024935 is about 235.2837074500.

Adding to 13024935 its reverse (53942031), we get a palindrome (66966966).

The spelling of 13024935 in words is "thirteen million, twenty-four thousand, nine hundred thirty-five".