993001000 has 32 divisors (see below), whose sum is σ = 2323624680. Its totient is φ = 397200000.

The previous prime is 993000997. The next prime is 993001013. The reversal of 993001000 is 100399.

It can be written as a sum of positive squares in 4 ways, for example, as 202379076 + 790621924 = 14226^2 + 28118^2 .

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 7 ways as a sum of consecutive naturals, for example, 495501 + ... + 497500.

Almost surely, 2^993001000 is an apocalyptic number.

It is an amenable number.

993001000 is an abundant number, since it is smaller than the sum of its proper divisors (1330623680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

993001000 is a wasteful number, since it uses less digits than its factorization.

993001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 993022 (or 993008 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 22.

The square root of 993001000 is about 31511.9183801939. The cubic root of 993001000 is about 997.6615358480.

Adding to 993001000 its reverse (100399), we get a palindrome (993101399).

The spelling of 993001000 in words is "nine hundred ninety-three million, one thousand".