993329145 has 12 divisors (see below), whose sum is σ = 1721770596. Its totient is φ = 529775520.

The previous prime is 993329093. The next prime is 993329153. The reversal of 993329145 is 541923399.

It can be written as a sum of positive squares in 2 ways, for example, as 463454784 + 529874361 = 21528^2 + 23019^2 .

It is not a de Polignac number, because 993329145 - 2¹⁰ = 993328121 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 22073981 = 993329145 / (9 + 9 + 3 + 3 + 2 + 9 + 1 + 4 + 5).

It is a self number, because there is not a number n which added to its sum of digits gives 993329145.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11036946 + ... + 11037035.

It is an arithmetic number, because the mean of its divisors is an integer number (143480883).

Almost surely, 2^993329145 is an apocalyptic number.

It is an amenable number.

993329145 is a deficient number, since it is larger than the sum of its proper divisors (728441451).

993329145 is a wasteful number, since it uses less digits than its factorization.

993329145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22073992 (or 22073989 counting only the distinct ones).

The product of its digits is 262440, while the sum is 45.

The square root of 993329145 is about 31517.1246309050. The cubic root of 993329145 is about 997.7714187819.

The spelling of 993329145 in words is "nine hundred ninety-three million, three hundred twenty-nine thousand, one hundred forty-five".