211272641 has 16 divisors (see below), whose sum is σ = 227017728. Its totient is φ = 196165200.

The previous prime is 211272619. The next prime is 211272643. The reversal of 211272641 is 146272112.

211272641 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 211272641 - 2¹⁰ = 211271617 is a prime.

It is a super-2 number, since 2×211272641² = 89272257670229762, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 211272641.

It is not an unprimeable number, because it can be changed into a prime (211272643) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 108446 + ... + 110376.

It is an arithmetic number, because the mean of its divisors is an integer number (14188608).

Almost surely, 2^211272641 is an apocalyptic number.

It is an amenable number.

211272641 is a deficient number, since it is larger than the sum of its proper divisors (15745087).

211272641 is a wasteful number, since it uses less digits than its factorization.

211272641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2092.

The product of its digits is 1344, while the sum is 26.

The square root of 211272641 is about 14535.2207069587. The cubic root of 211272641 is about 595.5904888126.

The spelling of 211272641 in words is "two hundred eleven million, two hundred seventy-two thousand, six hundred forty-one".