993743961 has 12 divisors (see below), whose sum is σ = 1541317392. Its totient is φ = 567853608.

The previous prime is 993743939. The next prime is 993743969. The reversal of 993743961 is 169347399.

It is not a de Polignac number, because 993743961 - 2²⁶ = 926635097 is a prime.

It is not an unprimeable number, because it can be changed into a prime (993743969) 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 in 11 ways as a sum of consecutive naturals, for example, 3379935 + ... + 3380228.

It is an arithmetic number, because the mean of its divisors is an integer number (128443116).

Almost surely, 2^993743961 is an apocalyptic number.

It is an amenable number.

993743961 is a deficient number, since it is larger than the sum of its proper divisors (547573431).

993743961 is a wasteful number, since it uses less digits than its factorization.

993743961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6760180 (or 6760173 counting only the distinct ones).

The product of its digits is 1102248, while the sum is 51.

The square root of 993743961 is about 31523.7047473802. The cubic root of 993743961 is about 997.9102898199.

The spelling of 993743961 in words is "nine hundred ninety-three million, seven hundred forty-three thousand, nine hundred sixty-one".