7968213 has 36 divisors (see below), whose sum is σ = 13168064. Its totient is φ = 4811400.

The previous prime is 7968203. The next prime is 7968217. The reversal of 7968213 is 3128697.

7968213 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 7968213 - 2¹³ = 7960021 is a prime.

It is a Duffinian number.

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7968217) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 29268 + ... + 29538.

Almost surely, 2^7968213 is an apocalyptic number.

It is an amenable number.

7968213 is a deficient number, since it is larger than the sum of its proper divisors (5199851).

7968213 is a wasteful number, since it uses less digits than its factorization.

7968213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 285 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 7968213 is about 2822.8023310179. The cubic root of 7968213 is about 199.7347567189.

It can be divided in two parts, 796 and 8213, that added together give a palindrome (9009).

The spelling of 7968213 in words is "seven million, nine hundred sixty-eight thousand, two hundred thirteen".