13288873 has 16 divisors (see below), whose sum is σ = 14994000. Its totient is φ = 11692800.

The previous prime is 13288867. The next prime is 13288889. The reversal of 13288873 is 37888231.

13288873 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 700569 + 12588304 = 837^2 + 3548^2 .

It is not a de Polignac number, because 13288873 - 2⁵ = 13288841 is a prime.

It is a super-2 number, since 2×13288873² = 353188291220258, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13288813) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37903 + ... + 38251.

It is an arithmetic number, because the mean of its divisors is an integer number (937125).

Almost surely, 2^13288873 is an apocalyptic number.

13288873 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13288873 is a deficient number, since it is larger than the sum of its proper divisors (1705127).

13288873 is a wasteful number, since it uses less digits than its factorization.

13288873 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492.

The product of its digits is 64512, while the sum is 40.

The square root of 13288873 is about 3645.3906512197. The cubic root of 13288873 is about 236.8623590277.

It can be divided in two parts, 13288 and 873, that added together give a square (14161 = 119²).

The spelling of 13288873 in words is "thirteen million, two hundred eighty-eight thousand, eight hundred seventy-three".