212729 has 8 divisors (see below), whose sum is σ = 235872. Its totient is φ = 190240.

The previous prime is 212701. The next prime is 212777. The reversal of 212729 is 927212.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-212729 is a prime.

It is an alternating number because its digits alternate between even and odd.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (212029) 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 7 ways as a sum of consecutive naturals, for example, 797 + ... + 1029.

It is an arithmetic number, because the mean of its divisors is an integer number (29484).

2²¹²⁷²⁹ is an apocalyptic number.

It is an amenable number.

212729 is a deficient number, since it is larger than the sum of its proper divisors (23143).

212729 is a wasteful number, since it uses less digits than its factorization.

212729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327.

The product of its digits is 504, while the sum is 23.

The square root of 212729 is about 461.2255413569. The cubic root of 212729 is about 59.6955877951.

The spelling of 212729 in words is "two hundred twelve thousand, seven hundred twenty-nine".