212829 has 8 divisors (see below), whose sum is σ = 288672. Its totient is φ = 139440.

The previous prime is 212827. The next prime is 212837. The reversal of 212829 is 928212.

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

It is not a de Polignac number, because 212829 - 2¹ = 212827 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 212799 and 212808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212827) 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, 399 + ... + 764.

It is an arithmetic number, because the mean of its divisors is an integer number (36084).

2²¹²⁸²⁹ is an apocalyptic number.

It is an amenable number.

212829 is a deficient number, since it is larger than the sum of its proper divisors (75843).

212829 is a wasteful number, since it uses less digits than its factorization.

212829 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1227.

The product of its digits is 576, while the sum is 24.

The square root of 212829 is about 461.3339354524. Note that the first 3 decimals coincide. The cubic root of 212829 is about 59.7049402633.

It can be divided in two parts, 21 and 2829, that added together give a triangular number (2850 = T₇₅).

The spelling of 212829 in words is "two hundred twelve thousand, eight hundred twenty-nine".