8137993 has 4 divisors (see below), whose sum is σ = 8151760. Its totient is φ = 8124228.

The previous prime is 8137981. The next prime is 8137999. The reversal of 8137993 is 3997318.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 8137993 - 2¹³ = 8129801 is a prime.

It is a Duffinian number.

8137993 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (8137999) 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 3 ways as a sum of consecutive naturals, for example, 5955 + ... + 7192.

It is an arithmetic number, because the mean of its divisors is an integer number (2037940).

Almost surely, 2^8137993 is an apocalyptic number.

It is an amenable number.

8137993 is a deficient number, since it is larger than the sum of its proper divisors (13767).

8137993 is a wasteful number, since it uses less digits than its factorization.

8137993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13766.

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

The square root of 8137993 is about 2852.7167752863. The cubic root of 8137993 is about 201.1433924781.

The spelling of 8137993 in words is "eight million, one hundred thirty-seven thousand, nine hundred ninety-three".