212905875 has 128 divisors (see below), whose sum is σ = 462938112. Its totient is φ = 84326400.

The previous prime is 212905843. The next prime is 212905877. The reversal of 212905875 is 578509212.

It is not a de Polignac number, because 212905875 - 2⁵ = 212905843 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (212905877) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 579942 + ... + 580308.

It is an arithmetic number, because the mean of its divisors is an integer number (3616704).

Almost surely, 2^212905875 is an apocalyptic number.

212905875 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

212905875 is an abundant number, since it is smaller than the sum of its proper divisors (250032237).

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

212905875 is a wasteful number, since it uses less digits than its factorization.

212905875 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 39.

The square root of 212905875 is about 14591.2944936356. The cubic root of 212905875 is about 597.1212798169.

The spelling of 212905875 in words is "two hundred twelve million, nine hundred five thousand, eight hundred seventy-five".