193961329 has 9 divisors (see below), whose sum is σ = 204986763. Its totient is φ = 183502152.

The previous prime is 193961321. The next prime is 193961359. The reversal of 193961329 is 923169391.

The square root of 193961329 is 13927.

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

It can be written as a sum of positive squares in only one way, i.e., 189750625 + 4210704 = 13775^2 + 2052^2 .

It is not a de Polignac number, because 193961329 - 2³ = 193961321 is a prime.

It is not an unprimeable number, because it can be changed into a prime (193961321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 264247 + ... + 264979.

It is an arithmetic number, because the mean of its divisors is an integer number (22776307).

Almost surely, 2^193961329 is an apocalyptic number.

193961329 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

193961329 is the 13927-th square number.

193961329 is the 6964-th centered octagonal number.

It is an amenable number.

193961329 is a deficient number, since it is larger than the sum of its proper divisors (11025434).

193961329 is an frugal number, since it uses more digits than its factorization.

193961329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1504 (or 752 counting only the distinct ones).

The product of its digits is 78732, while the sum is 43.

The cubic root of 193961329 is about 578.8575698930.

The spelling of 193961329 in words is "one hundred ninety-three million, nine hundred sixty-one thousand, three hundred twenty-nine".