214101409 has 2 divisors, whose sum is σ = 214101410. Its totient is φ = 214101408.

The previous prime is 214101401. The next prime is 214101421. The reversal of 214101409 is 904101412.

214101409 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 192432384 + 21669025 = 13872^2 + 4655^2 .

It is a cyclic number.

It is not a de Polignac number, because 214101409 - 2³ = 214101401 is a prime.

It is equal to p_11815303 and since 214101409 and 11815303 have the same sum of digits, it is a Honaker prime.

It is a self number, because there is not a number n which added to its sum of digits gives 214101409.

It is not a weakly prime, because it can be changed into another prime (214101401) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 107050704 + 107050705.

It is an arithmetic number, because the mean of its divisors is an integer number (107050705).

Almost surely, 2^214101409 is an apocalyptic number.

It is an amenable number.

214101409 is a deficient number, since it is larger than the sum of its proper divisors (1).

214101409 is an equidigital number, since it uses as much as digits as its factorization.

214101409 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 288, while the sum is 22.

The square root of 214101409 is about 14632.2045160666. The cubic root of 214101409 is about 598.2368693961.

The spelling of 214101409 in words is "two hundred fourteen million, one hundred one thousand, four hundred nine".