993100 has 18 divisors (see below), whose sum is σ = 2155244. Its totient is φ = 397200.

The previous prime is 993079. The next prime is 993103. The reversal of 993100 is 1399.

It is a super-2 number, since 2×993100² = 1972495220000, which contains 22 as substring.

It is a nialpdrome in base 10.

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 5 ways as a sum of consecutive naturals, for example, 4866 + ... + 5065.

2⁹⁹³¹⁰⁰ is an apocalyptic number.

It is an amenable number.

993100 is an abundant number, since it is smaller than the sum of its proper divisors (1162144).

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

993100 is a wasteful number, since it uses less digits than its factorization.

993100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9945 (or 9938 counting only the distinct ones).

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

The square root of 993100 is about 996.5440281292. The cubic root of 993100 is about 99.7694689628.

Adding to 993100 its reverse (1399), we get a palindrome (994499).

The spelling of 993100 in words is "nine hundred ninety-three thousand, one hundred".