638577 has 16 divisors (see below), whose sum is σ = 962880. Its totient is φ = 418176.

The previous prime is 638567. The next prime is 638581. The reversal of 638577 is 775836.

It is not a de Polignac number, because 638577 - 2¹⁵ = 605809 is a prime.

It is not an unprimeable number, because it can be changed into a prime (638527) 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, 1633 + ... + 1985.

It is an arithmetic number, because the mean of its divisors is an integer number (60180).

2⁶³⁸⁵⁷⁷ is an apocalyptic number.

638577 is a gapful number since it is divisible by the number (67) formed by its first and last digit.

It is an amenable number.

638577 is a deficient number, since it is larger than the sum of its proper divisors (324303).

638577 is a wasteful number, since it uses less digits than its factorization.

638577 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429 (or 423 counting only the distinct ones).

The product of its digits is 35280, while the sum is 36.

The square root of 638577 is about 799.1101300822. The cubic root of 638577 is about 86.1134701940.

It can be divided in two parts, 6 and 38577, that added together give a palindrome (38583).

The spelling of 638577 in words is "six hundred thirty-eight thousand, five hundred seventy-seven".