212753984 has 28 divisors (see below), whose sum is σ = 422719500. Its totient is φ = 106242048.

The previous prime is 212753977. The next prime is 212753987. The reversal of 212753984 is 489357212.

It can be written as a sum of positive squares in 2 ways, for example, as 184960000 + 27793984 = 13600^2 + 5272^2 .

It is not an unprimeable number, because it can be changed into a prime (212753987) 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 3 ways as a sum of consecutive naturals, for example, 65552 + ... + 68720.

It is an arithmetic number, because the mean of its divisors is an integer number (15097125).

Almost surely, 2^212753984 is an apocalyptic number.

It is an amenable number.

212753984 is a deficient number, since it is larger than the sum of its proper divisors (209965516).

212753984 is a wasteful number, since it uses less digits than its factorization.

212753984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4230 (or 4220 counting only the distinct ones).

The product of its digits is 120960, while the sum is 41.

The square root of 212753984 is about 14586.0887149366. The cubic root of 212753984 is about 596.9792469033.

The spelling of 212753984 in words is "two hundred twelve million, seven hundred fifty-three thousand, nine hundred eighty-four".