117961321 has 3 divisors (see below), whose sum is σ = 117972183. Its totient is φ = 117950460.

The previous prime is 117961309. The next prime is 117961331. The reversal of 117961321 is 123169711.

The square root of 117961321 is 10861.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 46389721 + 71571600 = 6811^2 + 8460^2 .

It is not a de Polignac number, because 117961321 - 2⁵ = 117961289 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (117961331) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 5431 + ... + 16291.

It is an arithmetic number, because the mean of its divisors is an integer number (39324061).

Almost surely, 2^117961321 is an apocalyptic number.

117961321 is the 10861-st square number.

117961321 is the 5431-st centered octagonal number.

It is an amenable number.

117961321 is a deficient number, since it is larger than the sum of its proper divisors (10862).

117961321 is an frugal number, since it uses more digits than its factorization.

117961321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21722 (or 10861 counting only the distinct ones).

The product of its digits is 2268, while the sum is 31.

The cubic root of 117961321 is about 490.4332153764.

It can be divided in two parts, 1179 and 61321, that added together give a square (62500 = 250²).

The spelling of 117961321 in words is "one hundred seventeen million, nine hundred sixty-one thousand, three hundred twenty-one".