214008081 has 32 divisors (see below), whose sum is σ = 340131840. Its totient is φ = 117101376.

The previous prime is 214008043. The next prime is 214008083. The reversal of 214008081 is 180800412.

It is not a de Polignac number, because 214008081 - 2⁶ = 214008017 is a prime.

It is a super-2 number, since 2×214008081² = 91598917466605122, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (214008083) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75960 + ... + 78726.

It is an arithmetic number, because the mean of its divisors is an integer number (10629120).

Almost surely, 2^214008081 is an apocalyptic number.

214008081 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

214008081 is a deficient number, since it is larger than the sum of its proper divisors (126123759).

214008081 is a wasteful number, since it uses less digits than its factorization.

214008081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2933.

The product of its (nonzero) digits is 512, while the sum is 24.

The square root of 214008081 is about 14629.0150386142. The cubic root of 214008081 is about 598.1499318318.

Adding to 214008081 its reverse (180800412), we get a palindrome (394808493).

The spelling of 214008081 in words is "two hundred fourteen million, eight thousand, eighty-one".