214929 has 24 divisors (see below), whose sum is σ = 366912. Its totient is φ = 119520.

The previous prime is 214913. The next prime is 214939. The reversal of 214929 is 929412.

214929 = 9³ + 10³ + ... + 30³.

214929 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 214929 - 2⁴ = 214913 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (214939) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1204 + ... + 1370.

It is an arithmetic number, because the mean of its divisors is an integer number (15288).

2²¹⁴⁹²⁹ is an apocalyptic number.

It is an amenable number.

214929 is a deficient number, since it is larger than the sum of its proper divisors (151983).

214929 is a wasteful number, since it uses less digits than its factorization.

214929 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 194 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 214929 is about 463.6043571840. The cubic root of 214929 is about 59.9006689799.

Adding to 214929 its product of digits (1296), we get a square (216225 = 465²).

It can be divided in two parts, 21 and 4929, that added together give a triangular number (4950 = T₉₉).

The spelling of 214929 in words is "two hundred fourteen thousand, nine hundred twenty-nine".