214506819 has 16 divisors (see below), whose sum is σ = 319184800. Its totient is φ = 142375968.

The previous prime is 214506781. The next prime is 214506841. The reversal of 214506819 is 918605412.

It is not a de Polignac number, because 214506819 - 2²⁴ = 197729603 is a prime.

It is a super-2 number, since 2×214506819² = 92026350794997522, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (214506899) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11164 + ... + 23529.

It is an arithmetic number, because the mean of its divisors is an integer number (19949050).

Almost surely, 2^214506819 is an apocalyptic number.

214506819 is a deficient number, since it is larger than the sum of its proper divisors (104677981).

214506819 is a wasteful number, since it uses less digits than its factorization.

214506819 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34931 (or 34925 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 214506819 is about 14646.0513108483. The cubic root of 214506819 is about 598.6142268520.

The spelling of 214506819 in words is "two hundred fourteen million, five hundred six thousand, eight hundred nineteen".