211033729 has 9 divisors (see below), whose sum is σ = 215044803. Its totient is φ = 207096912.

The previous prime is 211033673. The next prime is 211033759. The reversal of 211033729 is 927330112.

The square root of 211033729 is 14527.

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., 119793025 + 91240704 = 10945^2 + 9552^2 .

It is not a de Polignac number, because 211033729 - 2¹⁹ = 210509441 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 211033697 and 211033706.

It is not an unprimeable number, because it can be changed into a prime (211033759) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1060372 + ... + 1060570.

It is an arithmetic number, because the mean of its divisors is an integer number (23893867).

Almost surely, 2^211033729 is an apocalyptic number.

211033729 is the 14527-th square number.

211033729 is the 7264-th centered octagonal number.

It is an amenable number.

211033729 is a deficient number, since it is larger than the sum of its proper divisors (4011074).

211033729 is an frugal number, since it uses more digits than its factorization.

211033729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 28.

The cubic root of 211033729 is about 595.3659016247.

The spelling of 211033729 in words is "two hundred eleven million, thirty-three thousand, seven hundred twenty-nine".