214800705 has 48 divisors (see below), whose sum is σ = 439256064. Its totient is φ = 95022720.

The previous prime is 214800697. The next prime is 214800823. The reversal of 214800705 is 507008412.

It is not a de Polignac number, because 214800705 - 2³ = 214800697 is a prime.

It is a super-2 number, since 2×214800705² = 92278685736994050, which contains 22 as substring.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1234 + ... + 20763.

It is an arithmetic number, because the mean of its divisors is an integer number (9151168).

Almost surely, 2^214800705 is an apocalyptic number.

It is an amenable number.

214800705 is an abundant number, since it is smaller than the sum of its proper divisors (224455359).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

214800705 is a wasteful number, since it uses less digits than its factorization.

214800705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22046 (or 22043 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 214800705 is about 14656.0808199191. The cubic root of 214800705 is about 598.8874801075.

The spelling of 214800705 in words is "two hundred fourteen million, eight hundred thousand, seven hundred five".