214509017 has 16 divisors (see below), whose sum is σ = 230808960. Its totient is φ = 198836352.

The previous prime is 214509013. The next prime is 214509019. The reversal of 214509017 is 710905412.

214509017 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 214509017 - 2² = 214509013 is a prime.

It is not an unprimeable number, because it can be changed into a prime (214509013) 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, 376709 + ... + 377277.

It is an arithmetic number, because the mean of its divisors is an integer number (14425560).

Almost surely, 2^214509017 is an apocalyptic number.

It is an amenable number.

214509017 is a deficient number, since it is larger than the sum of its proper divisors (16299943).

214509017 is a wasteful number, since it uses less digits than its factorization.

214509017 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1072.

The product of its (nonzero) digits is 2520, while the sum is 29.

The square root of 214509017 is about 14646.1263479461. The cubic root of 214509017 is about 598.6162714639.

The spelling of 214509017 in words is "two hundred fourteen million, five hundred nine thousand, seventeen".