212547241 has 9 divisors (see below), whose sum is σ = 216996663. Its totient is φ = 208188120.

The previous prime is 212547227. The next prime is 212547259. The reversal of 212547241 is 142745212.

The square root of 212547241 is 14579.

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

It can be written as a sum of positive squares in only one way, i.e., 6911641 + 205635600 = 2629^2 + 14340^2 .

It is not a de Polignac number, because 212547241 - 2¹⁵ = 212514473 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (212547221) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 889200 + ... + 889438.

Almost surely, 2^212547241 is an apocalyptic number.

212547241 is the 14579-th square number.

212547241 is the 7290-th centered octagonal number.

It is an amenable number.

212547241 is a deficient number, since it is larger than the sum of its proper divisors (4449422).

212547241 is an frugal number, since it uses more digits than its factorization.

212547241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600 (or 300 counting only the distinct ones).

The product of its digits is 4480, while the sum is 28.

The cubic root of 212547241 is about 596.7858133456.

The spelling of 212547241 in words is "two hundred twelve million, five hundred forty-seven thousand, two hundred forty-one".