7638967 has 16 divisors (see below), whose sum is σ = 9649152. Its totient is φ = 5892480.

The previous prime is 7638949. The next prime is 7638971. The reversal of 7638967 is 7698367.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-7638967 is a prime.

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

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7638937) 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, 1342 + ... + 4132.

It is an arithmetic number, because the mean of its divisors is an integer number (603072).

Almost surely, 2^7638967 is an apocalyptic number.

7638967 is a deficient number, since it is larger than the sum of its proper divisors (2010185).

7638967 is a wasteful number, since it uses less digits than its factorization.

7638967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2838.

The product of its digits is 381024, while the sum is 46.

The square root of 7638967 is about 2763.8681227584. The cubic root of 7638967 is about 196.9449630239.

It can be divided in two parts, 763 and 8967, that added together give a triangular number (9730 = T₁₃₉).

The spelling of 7638967 in words is "seven million, six hundred thirty-eight thousand, nine hundred sixty-seven".