6872905 has 16 divisors (see below), whose sum is σ = 9092160. Its totient is φ = 4955328.

The previous prime is 6872897. The next prime is 6872909. The reversal of 6872905 is 5092786.

6872905 = T₂₅₈ + T₂₅₉ + ... + T₃₈₇.

It is a cyclic number.

It is not a de Polignac number, because 6872905 - 2³ = 6872897 is a prime.

6872905 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6872909) 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 15 ways as a sum of consecutive naturals, for example, 1566 + ... + 4024.

It is an arithmetic number, because the mean of its divisors is an integer number (568260).

Almost surely, 2^6872905 is an apocalyptic number.

6872905 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

6872905 is a deficient number, since it is larger than the sum of its proper divisors (2219255).

6872905 is a wasteful number, since it uses less digits than its factorization.

6872905 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2520.

The product of its (nonzero) digits is 30240, while the sum is 37.

The square root of 6872905 is about 2621.6225891611. The cubic root of 6872905 is about 190.1283066870.

It can be divided in two parts, 6872 and 905, that added together give a palindrome (7777).

The spelling of 6872905 in words is "six million, eight hundred seventy-two thousand, nine hundred five".