6117993 has 18 divisors (see below), whose sum is σ = 10280634. Its totient is φ = 3495744.

The previous prime is 6117983. The next prime is 6118001. The reversal of 6117993 is 3997116.

It can be written as a sum of positive squares in only one way, i.e., 5143824 + 974169 = 2268^2 + 987^2 .

It is not a de Polignac number, because 6117993 - 2⁶ = 6117929 is a prime.

6117993 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (6117983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6496 + ... + 7377.

Almost surely, 2^6117993 is an apocalyptic number.

6117993 is a gapful number since it is divisible by the number (63) formed by its first and last digit.

It is an amenable number.

6117993 is a deficient number, since it is larger than the sum of its proper divisors (4162641).

6117993 is a wasteful number, since it uses less digits than its factorization.

6117993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13893 (or 13883 counting only the distinct ones).

The product of its digits is 10206, while the sum is 36.

The square root of 6117993 is about 2473.4577012757. The cubic root of 6117993 is about 182.8954881161.

The spelling of 6117993 in words is "six million, one hundred seventeen thousand, nine hundred ninety-three".