13628173 has 16 divisors (see below), whose sum is σ = 15608880. Its totient is φ = 11805696.

The previous prime is 13628171. The next prime is 13628177. The reversal of 13628173 is 37182631.

It can be written as a sum of positive squares in 8 ways, for example, as 1258884 + 12369289 = 1122^2 + 3517^2 .

It is a cyclic number.

It is not a de Polignac number, because 13628173 - 2¹ = 13628171 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13628171) 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, 13461 + ... + 14437.

It is an arithmetic number, because the mean of its divisors is an integer number (975555).

Almost surely, 2^13628173 is an apocalyptic number.

13628173 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13628173 is a deficient number, since it is larger than the sum of its proper divisors (1980707).

13628173 is a wasteful number, since it uses less digits than its factorization.

13628173 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1056.

The product of its digits is 6048, while the sum is 31.

The square root of 13628173 is about 3691.6355453918. The cubic root of 13628173 is about 238.8613482422.

The spelling of 13628173 in words is "thirteen million, six hundred twenty-eight thousand, one hundred seventy-three".