993620321 has 2 divisors, whose sum is σ = 993620322. Its totient is φ = 993620320.

The previous prime is 993620291. The next prime is 993620323. The reversal of 993620321 is 123026399.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 747475600 + 246144721 = 27340^2 + 15689^2 .

It is a cyclic number.

It is not a de Polignac number, because 993620321 - 2¹⁴ = 993603937 is a prime.

It is a Sophie Germain prime.

Together with 993620323, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is equal to p_50539571 and since 993620321 and 50539571 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (993620323) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 496810160 + 496810161.

It is an arithmetic number, because the mean of its divisors is an integer number (496810161).

Almost surely, 2^993620321 is an apocalyptic number.

It is an amenable number.

993620321 is a deficient number, since it is larger than the sum of its proper divisors (1).

993620321 is an equidigital number, since it uses as much as digits as its factorization.

993620321 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 17496, while the sum is 35.

The square root of 993620321 is about 31521.7436224585. The cubic root of 993620321 is about 997.8689019807.

The spelling of 993620321 in words is "nine hundred ninety-three million, six hundred twenty thousand, three hundred twenty-one".