6852105 has 72 divisors (see below), whose sum is σ = 13874328. Its totient is φ = 3115008.

The previous prime is 6852101. The next prime is 6852127. The reversal of 6852105 is 5012586.

It can be written as a sum of positive squares in 12 ways, for example, as 2134521 + 4717584 = 1461^2 + 2172^2 .

It is not a de Polignac number, because 6852105 - 2² = 6852101 is a prime.

It is not an unprimeable number, because it can be changed into a prime (6852101) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 129259 + ... + 129311.

It is an arithmetic number, because the mean of its divisors is an integer number (192699).

Almost surely, 2^6852105 is an apocalyptic number.

6852105 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

6852105 is an abundant number, since it is smaller than the sum of its proper divisors (7022223).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6852105 is a wasteful number, since it uses less digits than its factorization.

6852105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 6852105 is about 2617.6525743498. The cubic root of 6852105 is about 189.9363129115.

The spelling of 6852105 in words is "six million, eight hundred fifty-two thousand, one hundred five".