13638573 has 24 divisors (see below), whose sum is σ = 22466808. Its totient is φ = 7898112.

The previous prime is 13638551. The next prime is 13638593. The reversal of 13638573 is 37583631.

13638573 is a `hidden beast` number, since 13 + 638 + 5 + 7 + 3 = 666.

13638573 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 324 + 13638249 = 18^2 + 3693^2 .

It is not a de Polignac number, because 13638573 - 2⁶ = 13638509 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13638503) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1440 + ... + 5417.

It is an arithmetic number, because the mean of its divisors is an integer number (936117).

Almost surely, 2^13638573 is an apocalyptic number.

13638573 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13638573 is a deficient number, since it is larger than the sum of its proper divisors (8828235).

13638573 is a wasteful number, since it uses less digits than its factorization.

13638573 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6893 (or 6890 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The square root of 13638573 is about 3693.0438665145. The cubic root of 13638573 is about 238.9220931511.

The spelling of 13638573 in words is "thirteen million, six hundred thirty-eight thousand, five hundred seventy-three".