965788321 has 8 divisors (see below), whose sum is σ = 980194824. Its totient is φ = 951413760.

The previous prime is 965788301. The next prime is 965788381. The reversal of 965788321 is 123887569.

It can be written as a sum of positive squares in 4 ways, for example, as 27040000 + 938748321 = 5200^2 + 30639^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 965788321 - 2¹¹ = 965786273 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (965788301) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56805 + ... + 71821.

It is an arithmetic number, because the mean of its divisors is an integer number (122524353).

Almost surely, 2^965788321 is an apocalyptic number.

It is an amenable number.

965788321 is a deficient number, since it is larger than the sum of its proper divisors (14406503).

965788321 is a wasteful number, since it uses less digits than its factorization.

965788321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15971.

The product of its digits is 725760, while the sum is 49.

The square root of 965788321 is about 31077.1350191745. The cubic root of 965788321 is about 988.4635286252.

It can be divided in two parts, 9 and 65788321, that multiplied together give a square (592094889 = 24333²).

The spelling of 965788321 in words is "nine hundred sixty-five million, seven hundred eighty-eight thousand, three hundred twenty-one".