213832129 has 9 divisors (see below), whose sum is σ = 248862627. Its totient is φ = 183196944.

The previous prime is 213832123. The next prime is 213832189. The reversal of 213832129 is 921238312.

The square root of 213832129 is 14623.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 188430529 + 25401600 = 13727^2 + 5040^2 .

It is not a de Polignac number, because 213832129 - 2¹¹ = 213830081 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 213832129.

It is not an unprimeable number, because it can be changed into a prime (213832123) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 101317 + ... + 103405.

It is an arithmetic number, because the mean of its divisors is an integer number (27651403).

Almost surely, 2^213832129 is an apocalyptic number.

213832129 is the 14623-rd square number.

213832129 is the 7312-nd centered octagonal number.

It is an amenable number.

213832129 is a deficient number, since it is larger than the sum of its proper divisors (35030498).

213832129 is an frugal number, since it uses more digits than its factorization.

213832129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4192 (or 2096 counting only the distinct ones).

The product of its digits is 5184, while the sum is 31.

The cubic root of 213832129 is about 597.9859589996.

Multiplying 213832129 by its product of digits (5184), we get a square (1108505756736 = 1052856²).

The spelling of 213832129 in words is "two hundred thirteen million, eight hundred thirty-two thousand, one hundred twenty-nine".