211064292 has 60 divisors (see below), whose sum is σ = 553209580. Its totient is φ = 70170624.

The previous prime is 211064279. The next prime is 211064297. The reversal of 211064292 is 292460112.

211064292 is a `hidden beast` number, since 2 + 1 + 10 + 642 + 9 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 127780416 + 83283876 = 11304^2 + 9126^2 .

It is a super-2 number, since 2×211064292² = 89096270714922528, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (211064297) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 186384 + ... + 187512.

Almost surely, 2^211064292 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211064292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276604790).

211064292 is an abundant number, since it is smaller than the sum of its proper divisors (342145288).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

211064292 is a wasteful number, since it uses less digits than its factorization.

211064292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1722 (or 1711 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 211064292 is about 14528.0518996870. The cubic root of 211064292 is about 595.3946415640.

The spelling of 211064292 in words is "two hundred eleven million, sixty-four thousand, two hundred ninety-two".