8137105 has 8 divisors (see below), whose sum is σ = 9991872. Its totient is φ = 6358128.

The previous prime is 8137069. The next prime is 8137117. The reversal of 8137105 is 5017318.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 8137105 - 2⁷ = 8136977 is a prime.

It is a super-3 number, since 3×8137105³ (a number of 22 digits) contains 333 as substring.

It is a Duffinian number.

8137105 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 8137105.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 18709 + ... + 19138.

It is an arithmetic number, because the mean of its divisors is an integer number (1248984).

Almost surely, 2^8137105 is an apocalyptic number.

It is an amenable number.

8137105 is a deficient number, since it is larger than the sum of its proper divisors (1854767).

8137105 is a wasteful number, since it uses less digits than its factorization.

8137105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37895.

The product of its (nonzero) digits is 840, while the sum is 25.

The square root of 8137105 is about 2852.5611299322. The cubic root of 8137105 is about 201.1360761030.

The spelling of 8137105 in words is "eight million, one hundred thirty-seven thousand, one hundred five".