967894321 has 9 divisors (see below), whose sum is σ = 988184491. Its totient is φ = 948014392.

The previous prime is 967894289. The next prime is 967894331. The reversal of 967894321 is 123498769.

The square root of 967894321 is 31111.

It is a perfect power (a square), and thus also a powerful number.

967894321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 697752225 + 270142096 = 26415^2 + 16436^2 .

It is not a de Polignac number, because 967894321 - 2⁵ = 967894289 is a prime.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (967894331) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1648590 + ... + 1649176.

Almost surely, 2^967894321 is an apocalyptic number.

967894321 is the 31111-st square number.

967894321 is the 15556-th centered octagonal number.

It is an amenable number.

967894321 is a deficient number, since it is larger than the sum of its proper divisors (20290170).

967894321 is an frugal number, since it uses more digits than its factorization.

967894321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1280 (or 640 counting only the distinct ones).

The product of its digits is 653184, while the sum is 49.

The cubic root of 967894321 is about 989.1814888841.

Multiplying 967894321 by its sum of digits (49), we get a square (47426821729 = 217777²).

The spelling of 967894321 in words is "nine hundred sixty-seven million, eight hundred ninety-four thousand, three hundred twenty-one".