7813993 has 16 divisors (see below), whose sum is σ = 8908416. Its totient is φ = 6791040.

The previous prime is 7813987. The next prime is 7814011. The reversal of 7813993 is 3993187.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-7813993 is a prime.

It is a super-2 number, since 2×7813993² = 122116973208098, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (7813973) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29580 + ... + 29842.

It is an arithmetic number, because the mean of its divisors is an integer number (556776).

Almost surely, 2^7813993 is an apocalyptic number.

7813993 is a gapful number since it is divisible by the number (73) formed by its first and last digit.

It is an amenable number.

7813993 is a deficient number, since it is larger than the sum of its proper divisors (1094423).

7813993 is a wasteful number, since it uses less digits than its factorization.

7813993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384.

The product of its digits is 40824, while the sum is 40.

The square root of 7813993 is about 2795.3520350754. The cubic root of 7813993 is about 198.4377706364.

It can be divided in two parts, 781 and 3993, that added together give a palindrome (4774).

The spelling of 7813993 in words is "seven million, eight hundred thirteen thousand, nine hundred ninety-three".