8505407 has 8 divisors (see below), whose sum is σ = 8982000. Its totient is φ = 8031744.

The previous prime is 8505403. The next prime is 8505433. The reversal of 8505407 is 7045058.

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 8505407 - 2² = 8505403 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 8505407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8505401) 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 7 ways as a sum of consecutive naturals, for example, 8033 + ... + 9029.

It is an arithmetic number, because the mean of its divisors is an integer number (1122750).

Almost surely, 2^8505407 is an apocalyptic number.

8505407 is a deficient number, since it is larger than the sum of its proper divisors (476593).

8505407 is a wasteful number, since it uses less digits than its factorization.

With its successor (8505408) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (1465).

8505407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1465.

The product of its (nonzero) digits is 5600, while the sum is 29.

The square root of 8505407 is about 2916.4030928526. The cubic root of 8505407 is about 204.1260194707.

The spelling of 8505407 in words is "eight million, five hundred five thousand, four hundred seven".