211149961 has 9 divisors (see below), whose sum is σ = 232266279. Its totient is φ = 191809200.

The previous prime is 211149943. The next prime is 211149971. The reversal of 211149961 is 169941112.

The square root of 211149961 is 14531.

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., 195468361 + 15681600 = 13981^2 + 3960^2 .

It is not a de Polignac number, because 211149961 - 2⁵ = 211149929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (211149941) 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 8 ways as a sum of consecutive naturals, for example, 159181 + ... + 160501.

Almost surely, 2^211149961 is an apocalyptic number.

211149961 is the 14531-st square number.

211149961 is the 7266-th centered octagonal number.

It is an amenable number.

211149961 is a deficient number, since it is larger than the sum of its proper divisors (21116318).

211149961 is an frugal number, since it uses more digits than its factorization.

211149961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2664 (or 1332 counting only the distinct ones).

The product of its digits is 3888, while the sum is 34.

The cubic root of 211149961 is about 595.4751856857.

The spelling of 211149961 in words is "two hundred eleven million, one hundred forty-nine thousand, nine hundred sixty-one".