993705165 has 80 divisors (see below), whose sum is σ = 1906098480. Its totient is φ = 493516800.

The previous prime is 993705121. The next prime is 993705191. The reversal of 993705165 is 561507399.

It can be written as a sum of positive squares in 8 ways, for example, as 11634921 + 982070244 = 3411^2 + 31338^2 .

It is not a de Polignac number, because 993705165 - 2¹⁰ = 993704141 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 993705165.

It is a congruent number.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 694671 + ... + 696099.

It is an arithmetic number, because the mean of its divisors is an integer number (23826231).

Almost surely, 2^993705165 is an apocalyptic number.

It is an amenable number.

993705165 is a deficient number, since it is larger than the sum of its proper divisors (912393315).

993705165 is a wasteful number, since it uses less digits than its factorization.

993705165 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1564 (or 1555 counting only the distinct ones).

The product of its (nonzero) digits is 255150, while the sum is 45.

The square root of 993705165 is about 31523.0893949181. The cubic root of 993705165 is about 997.8973034327.

The spelling of 993705165 in words is "nine hundred ninety-three million, seven hundred five thousand, one hundred sixty-five".