993777361 has 2 divisors, whose sum is σ = 993777362. Its totient is φ = 993777360.

The previous prime is 993777329. The next prime is 993777371. The reversal of 993777361 is 163777399.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 583512336 + 410265025 = 24156^2 + 20255^2 .

It is an emirp because it is prime and its reverse (163777399) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 993777361 - 2⁵ = 993777329 is a prime.

It is a super-2 number, since 2×993777361² = 1975186886472248642, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 993777299 and 993777308.

It is not a weakly prime, because it can be changed into another prime (993777371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 496888680 + 496888681.

It is an arithmetic number, because the mean of its divisors is an integer number (496888681).

Almost surely, 2^993777361 is an apocalyptic number.

It is an amenable number.

993777361 is a deficient number, since it is larger than the sum of its proper divisors (1).

993777361 is an equidigital number, since it uses as much as digits as its factorization.

993777361 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1500282, while the sum is 52.

The square root of 993777361 is about 31524.2345029978. The cubic root of 993777361 is about 997.9214697051.

The spelling of 993777361 in words is "nine hundred ninety-three million, seven hundred seventy-seven thousand, three hundred sixty-one".