8638101 has 12 divisors (see below), whose sum is σ = 12544428. Its totient is φ = 5727744.

The previous prime is 8638067. The next prime is 8638117. The reversal of 8638101 is 1018368.

8638101 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 2 ways, for example, as 3802500 + 4835601 = 1950^2 + 2199^2 .

It is not a de Polignac number, because 8638101 - 2⁷ = 8637973 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8638121) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 750 + ... + 4223.

It is an arithmetic number, because the mean of its divisors is an integer number (1045369).

Almost surely, 2^8638101 is an apocalyptic number.

It is an amenable number.

8638101 is a deficient number, since it is larger than the sum of its proper divisors (3906327).

8638101 is a wasteful number, since it uses less digits than its factorization.

8638101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5172 (or 5169 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 8638101 is about 2939.0646471284. The cubic root of 8638101 is about 205.1820789611.

The spelling of 8638101 in words is "eight million, six hundred thirty-eight thousand, one hundred one".