13238953 has 36 divisors (see below), whose sum is σ = 17849088. Its totient is φ = 9603360.

The previous prime is 13238917. The next prime is 13238963. The reversal of 13238953 is 35983231.

It is not a de Polignac number, because 13238953 - 2⁹ = 13238441 is a prime.

It is a super-3 number, since 3×13238953³ (a number of 22 digits) contains 333 as substring.

It is a Duffinian number.

It is a plaindrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (13238963) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 427048 + ... + 427078.

It is an arithmetic number, because the mean of its divisors is an integer number (495808).

Almost surely, 2^13238953 is an apocalyptic number.

13238953 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13238953 is a deficient number, since it is larger than the sum of its proper divisors (4610135).

13238953 is a wasteful number, since it uses less digits than its factorization.

13238953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 70 counting only the distinct ones).

The product of its digits is 19440, while the sum is 34.

The square root of 13238953 is about 3638.5372060761. The cubic root of 13238953 is about 236.5653936424.

The spelling of 13238953 in words is "thirteen million, two hundred thirty-eight thousand, nine hundred fifty-three".