814191993 has 40 divisors (see below), whose sum is σ = 1254536712. Its totient is φ = 525844224.

The previous prime is 814191977. The next prime is 814192039. The reversal of 814191993 is 399191418.

814191993 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 261565929 + 552626064 = 16173^2 + 23508^2 .

It is not a de Polignac number, because 814191993 - 2⁴ = 814191977 is a prime.

It is not an unprimeable number, because it can be changed into a prime (814191913) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 949621 + ... + 950477.

Almost surely, 2^814191993 is an apocalyptic number.

It is an amenable number.

814191993 is a deficient number, since it is larger than the sum of its proper divisors (440344719).

814191993 is a wasteful number, since it uses less digits than its factorization.

814191993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1223 (or 1214 counting only the distinct ones).

The product of its digits is 69984, while the sum is 45.

The square root of 814191993 is about 28534.0497125802. The cubic root of 814191993 is about 933.7750716643.

The spelling of 814191993 in words is "eight hundred fourteen million, one hundred ninety-one thousand, nine hundred ninety-three".