693827993 has 2 divisors, whose sum is σ = 693827994. Its totient is φ = 693827992.

The previous prime is 693827983. The next prime is 693828001. The reversal of 693827993 is 399728396.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 619661449 + 74166544 = 24893^2 + 8612^2 .

It is a cyclic number.

It is not a de Polignac number, because 693827993 - 2⁴ = 693827977 is a prime.

It is not a weakly prime, because it can be changed into another prime (693827903) 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 as a sum of consecutive naturals, namely, 346913996 + 346913997.

It is an arithmetic number, because the mean of its divisors is an integer number (346913997).

Almost surely, 2^693827993 is an apocalyptic number.

It is an amenable number.

693827993 is a deficient number, since it is larger than the sum of its proper divisors (1).

693827993 is an equidigital number, since it uses as much as digits as its factorization.

693827993 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4408992, while the sum is 56.

The square root of 693827993 is about 26340.6148941136. The cubic root of 693827993 is about 885.2866991159.

The spelling of 693827993 in words is "six hundred ninety-three million, eight hundred twenty-seven thousand, nine hundred ninety-three".