993105 has 24 divisors (see below), whose sum is σ = 1783080. Its totient is φ = 510720.

The previous prime is 993103. The next prime is 993107. The reversal of 993105 is 501399.

It is an interprime number because it is at equal distance from previous prime (993103) and next prime (993107).

It can be written as a sum of positive squares in 4 ways, for example, as 1089 + 992016 = 33^2 + 996^2 .

It is not a de Polignac number, because 993105 - 2¹ = 993103 is a prime.

It is not an unprimeable number, because it can be changed into a prime (993103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 925 + ... + 1685.

It is an arithmetic number, because the mean of its divisors is an integer number (74295).

2⁹⁹³¹⁰⁵ is an apocalyptic number.

It is an amenable number.

993105 is a deficient number, since it is larger than the sum of its proper divisors (789975).

993105 is a wasteful number, since it uses less digits than its factorization.

993105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 801 (or 798 counting only the distinct ones).

The product of its (nonzero) digits is 1215, while the sum is 27.

The square root of 993105 is about 996.5465367959. The cubic root of 993105 is about 99.7696364003.

The spelling of 993105 in words is "nine hundred ninety-three thousand, one hundred five".