13771638 has 12 divisors (see below), whose sum is σ = 29838588. Its totient is φ = 4590540.

The previous prime is 13771633. The next prime is 13771643. The reversal of 13771638 is 83617731.

13771638 is a `hidden beast` number, since 13 + 7 + 7 + 1 + 638 = 666.

13771638 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 is an interprime number because it is at equal distance from previous prime (13771633) and next prime (13771643).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13771631) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 382528 + ... + 382563.

It is an arithmetic number, because the mean of its divisors is an integer number (2486549).

Almost surely, 2^13771638 is an apocalyptic number.

13771638 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

13771638 is an abundant number, since it is smaller than the sum of its proper divisors (16066950).

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

13771638 is a wasteful number, since it uses less digits than its factorization.

13771638 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 765099 (or 765096 counting only the distinct ones).

The product of its digits is 21168, while the sum is 36.

The square root of 13771638 is about 3711.0157639115. The cubic root of 13771638 is about 239.6965957694.

The spelling of 13771638 in words is "thirteen million, seven hundred seventy-one thousand, six hundred thirty-eight".