638001 has 48 divisors (see below), whose sum is σ = 1223040. Its totient is φ = 311040.

The previous prime is 637939. The next prime is 638023. The reversal of 638001 is 100836.

638001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 638001 - 2⁶ = 637937 is a prime.

It is not an unprimeable number, because it can be changed into a prime (638051) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15541 + ... + 15581.

It is an arithmetic number, because the mean of its divisors is an integer number (25480).

2⁶³⁸⁰⁰¹ is an apocalyptic number.

It is an amenable number.

638001 is a deficient number, since it is larger than the sum of its proper divisors (585039).

638001 is a wasteful number, since it uses less digits than its factorization.

638001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 638001 is about 798.7496478872. The cubic root of 638001 is about 86.0875707958.

Adding to 638001 its reverse (100836), we get a palindrome (738837).

The spelling of 638001 in words is "six hundred thirty-eight thousand, one".