211964481 has 27 divisors (see below), whose sum is σ = 321585537. Its totient is φ = 134525160.

The previous prime is 211964471. The next prime is 211964491. The reversal of 211964481 is 184469112.

The square root of 211964481 is 14559.

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

211964481 is a `hidden beast` number, since 2 + 1 + 1 + 9 + 644 + 8 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (211964471) and next prime (211964491).

It is not a de Polignac number, because 211964481 - 2¹⁷ = 211833409 is a prime.

It is a super-2 number, since 2×211964481² = 89857882411198722, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (211964411) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1004466 + ... + 1004676.

Almost surely, 2^211964481 is an apocalyptic number.

211964481 is the 14559-th square number.

211964481 is the 7280-th centered octagonal number.

It is an amenable number.

211964481 is a deficient number, since it is larger than the sum of its proper divisors (109621056).

211964481 is an equidigital number, since it uses as much as digits as its factorization.

211964481 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474 (or 237 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The cubic root of 211964481 is about 596.2398935565.

Multiplying 211964481 by its sum of digits (36), we get a square (7630721316 = 87354²).

The spelling of 211964481 in words is "two hundred eleven million, nine hundred sixty-four thousand, four hundred eighty-one".