213630129 has 40 divisors (see below), whose sum is σ = 338877440. Its totient is φ = 133739424.

The previous prime is 213630089. The next prime is 213630133. The reversal of 213630129 is 921036312.

213630129 is a `hidden beast` number, since 2 + 1 + 3 + 630 + 1 + 29 = 666.

It is not a de Polignac number, because 213630129 - 2⁸ = 213629873 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (213630139) 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 39 ways as a sum of consecutive naturals, for example, 194907 + ... + 195999.

It is an arithmetic number, because the mean of its divisors is an integer number (8471936).

Almost surely, 2^213630129 is an apocalyptic number.

It is an amenable number.

213630129 is a deficient number, since it is larger than the sum of its proper divisors (125247311).

213630129 is a wasteful number, since it uses less digits than its factorization.

213630129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1251 (or 1242 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 213630129 is about 14616.0914406007. The cubic root of 213630129 is about 597.7976006198.

The spelling of 213630129 in words is "two hundred thirteen million, six hundred thirty thousand, one hundred twenty-nine".