211296821 has 16 divisors (see below), whose sum is σ = 221090688. Its totient is φ = 201772800.

The previous prime is 211296763. The next prime is 211296847. The reversal of 211296821 is 128692112.

It is a cyclic number.

It is not a de Polignac number, because 211296821 - 2¹⁰ = 211295797 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211296851) 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 15 ways as a sum of consecutive naturals, for example, 679256 + ... + 679566.

It is an arithmetic number, because the mean of its divisors is an integer number (13818168).

Almost surely, 2^211296821 is an apocalyptic number.

It is an amenable number.

211296821 is a deficient number, since it is larger than the sum of its proper divisors (9793867).

211296821 is a wasteful number, since it uses less digits than its factorization.

211296821 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652.

The product of its digits is 3456, while the sum is 32.

The square root of 211296821 is about 14536.0524558767. The cubic root of 211296821 is about 595.6132095784.

The spelling of 211296821 in words is "two hundred eleven million, two hundred ninety-six thousand, eight hundred twenty-one".