193321216 has 81 divisors (see below), whose sum is σ = 429594123. Its totient is φ = 86760960.

The previous prime is 193321211. The next prime is 193321237. The reversal of 193321216 is 612123391.

The square root of 193321216 is 13904.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (193321211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2447065 + ... + 2447143.

Almost surely, 2^193321216 is an apocalyptic number.

193321216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

193321216 is the 13904-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 193321216

193321216 is an abundant number, since it is smaller than the sum of its proper divisors (236272907).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

193321216 is an frugal number, since it uses more digits than its factorization.

193321216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 92 counting only the distinct ones).

The product of its digits is 1944, while the sum is 28.

The cubic root of 193321216 is about 578.2200843694.

The spelling of 193321216 in words is "one hundred ninety-three million, three hundred twenty-one thousand, two hundred sixteen".