212181827 has 16 divisors (see below), whose sum is σ = 250833408. Its totient is φ = 176942880.

The previous prime is 212181803. The next prime is 212181833. The reversal of 212181827 is 728181212.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 212181827 - 2¹⁰ = 212180803 is a prime.

It is a super-2 number, since 2×212181827² = 90042255418115858, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 212181793 and 212181802.

It is not an unprimeable number, because it can be changed into a prime (212181857) 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 15 ways as a sum of consecutive naturals, for example, 18758 + ... + 27860.

It is an arithmetic number, because the mean of its divisors is an integer number (15677088).

Almost surely, 2^212181827 is an apocalyptic number.

212181827 is a deficient number, since it is larger than the sum of its proper divisors (38651581).

212181827 is a wasteful number, since it uses less digits than its factorization.

212181827 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9290.

The product of its digits is 3584, while the sum is 32.

The square root of 212181827 is about 14566.4624051277. The cubic root of 212181827 is about 596.4436165058.

The spelling of 212181827 in words is "two hundred twelve million, one hundred eighty-one thousand, eight hundred twenty-seven".