212827505 has 24 divisors (see below), whose sum is σ = 297248616. Its totient is φ = 145671680.

The previous prime is 212827499. The next prime is 212827507. The reversal of 212827505 is 505728212.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 88661056 + 124166449 = 9416^2 + 11143^2 .

It is not a de Polignac number, because 212827505 - 2⁸ = 212827249 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (212827507) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62 + ... + 20631.

It is an arithmetic number, because the mean of its divisors is an integer number (12385359).

Almost surely, 2^212827505 is an apocalyptic number.

It is an amenable number.

212827505 is a deficient number, since it is larger than the sum of its proper divisors (84421111).

212827505 is a wasteful number, since it uses less digits than its factorization.

212827505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20737 (or 20726 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 32.

The square root of 212827505 is about 14588.6087410692. The cubic root of 212827505 is about 597.0480046544.

The spelling of 212827505 in words is "two hundred twelve million, eight hundred twenty-seven thousand, five hundred five".