129213 has 18 divisors (see below), whose sum is σ = 217854. Its totient is φ = 73584.

The previous prime is 129209. The next prime is 129221. The reversal of 129213 is 312921.

It is a happy number.

129213 is nontrivially palindromic in base 4.

It can be written as a sum of positive squares in only one way, i.e., 127449 + 1764 = 357^2 + 42^2 .

It is not a de Polignac number, because 129213 - 2² = 129209 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129223) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 295 + ... + 587.

It is an arithmetic number, because the mean of its divisors is an integer number (12103).

2¹²⁹²¹³ is an apocalyptic number.

It is an amenable number.

129213 is a deficient number, since it is larger than the sum of its proper divisors (88641).

129213 is a wasteful number, since it uses less digits than its factorization.

129213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 303 counting only the distinct ones).

The product of its digits is 108, while the sum is 18.

The square root of 129213 is about 359.4620981411. The cubic root of 129213 is about 50.5555380232. Note that the first 4 decimals are identical.

The spelling of 129213 in words is "one hundred twenty-nine thousand, two hundred thirteen".