214189641 has 24 divisors (see below), whose sum is σ = 326651520. Its totient is φ = 134869536.

The previous prime is 214189637. The next prime is 214189643. The reversal of 214189641 is 146981412.

214189641 is a `hidden beast` number, since 2 + 1 + 4 + 1 + 8 + 9 + 641 = 666.

It is not a de Polignac number, because 214189641 - 2² = 214189637 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 214189596 and 214189605.

It is not an unprimeable number, because it can be changed into a prime (214189643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61051 + ... + 64463.

It is an arithmetic number, because the mean of its divisors is an integer number (13610480).

Almost surely, 2^214189641 is an apocalyptic number.

It is an amenable number.

214189641 is a deficient number, since it is larger than the sum of its proper divisors (112461879).

214189641 is a wasteful number, since it uses less digits than its factorization.

214189641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3805 (or 3802 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 214189641 is about 14635.2191989051. The cubic root of 214189641 is about 598.3190366684.

The spelling of 214189641 in words is "two hundred fourteen million, one hundred eighty-nine thousand, six hundred forty-one".