213085875 has 32 divisors (see below), whose sum is σ = 360622080. Its totient is φ = 111708000.

The previous prime is 213085867. The next prime is 213085877. The reversal of 213085875 is 578580312.

It is not a de Polignac number, because 213085875 - 2³ = 213085867 is a prime.

It is not an unprimeable number, because it can be changed into a prime (213085877) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17310 + ... + 26940.

It is an arithmetic number, because the mean of its divisors is an integer number (11269440).

Almost surely, 2^213085875 is an apocalyptic number.

213085875 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

213085875 is a deficient number, since it is larger than the sum of its proper divisors (147536205).

213085875 is an equidigital number, since it uses as much as digits as its factorization.

213085875 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9708 (or 9698 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 39.

The square root of 213085875 is about 14597.4612518753. The cubic root of 213085875 is about 597.2895099556.

The spelling of 213085875 in words is "two hundred thirteen million, eighty-five thousand, eight hundred seventy-five".