7638327 has 16 divisors (see below), whose sum is σ = 11432160. Its totient is φ = 5040000.

The previous prime is 7638313. The next prime is 7638331. The reversal of 7638327 is 7238367.

It is not a de Polignac number, because 7638327 - 2¹⁶ = 7572791 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a junction number, because it is equal to n+sod(n) for n = 7638291 and 7638300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7638347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1327 + ... + 4127.

It is an arithmetic number, because the mean of its divisors is an integer number (714510).

Almost surely, 2^7638327 is an apocalyptic number.

7638327 is a deficient number, since it is larger than the sum of its proper divisors (3793833).

7638327 is a wasteful number, since it uses less digits than its factorization.

7638327 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2911 (or 2905 counting only the distinct ones).

The product of its digits is 42336, while the sum is 36.

The square root of 7638327 is about 2763.7523405689. The cubic root of 7638327 is about 196.9394627909.

The spelling of 7638327 in words is "seven million, six hundred thirty-eight thousand, three hundred twenty-seven".