212632875 has 192 divisors, whose sum is σ = 494247936. Its totient is φ = 85536000.

The previous prime is 212632853. The next prime is 212632909. The reversal of 212632875 is 578236212.

212632875 is a `hidden beast` number, since 2 + 12 + 632 + 8 + 7 + 5 = 666.

It is not a de Polignac number, because 212632875 - 2⁶ = 212632811 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

Its product of digits (40320) is a multiple of the sum of its prime divisors (126).

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 3173592 + ... + 3173658.

It is an arithmetic number, because the mean of its divisors is an integer number (2574208).

Almost surely, 2^212632875 is an apocalyptic number.

212632875 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

212632875 is an abundant number, since it is smaller than the sum of its proper divisors (281615061).

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

212632875 is a wasteful number, since it uses less digits than its factorization.

212632875 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 126 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 212632875 is about 14581.9365997799. The cubic root of 212632875 is about 596.8659497179.

The spelling of 212632875 in words is "two hundred twelve million, six hundred thirty-two thousand, eight hundred seventy-five".