993941101 has 16 divisors (see below), whose sum is σ = 1053031680. Its totient is φ = 936964800.

The previous prime is 993941089. The next prime is 993941111. The reversal of 993941101 is 101149399.

It is a cyclic number.

It is not a de Polignac number, because 993941101 - 2¹⁹ = 993416813 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (993941111) 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 in 15 ways as a sum of consecutive naturals, for example, 172810 + ... + 178468.

It is an arithmetic number, because the mean of its divisors is an integer number (65814480).

Almost surely, 2^993941101 is an apocalyptic number.

It is an amenable number.

993941101 is a deficient number, since it is larger than the sum of its proper divisors (59090579).

993941101 is a wasteful number, since it uses less digits than its factorization.

993941101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5844.

The product of its (nonzero) digits is 8748, while the sum is 37.

The square root of 993941101 is about 31526.8314456115. The cubic root of 993941101 is about 997.9762742970.

It can be divided in two parts, 9939 and 41101, that added together give a triangular number (51040 = T₃₁₉).

The spelling of 993941101 in words is "nine hundred ninety-three million, nine hundred forty-one thousand, one hundred one".