214064 has 20 divisors (see below), whose sum is σ = 439704. Its totient is φ = 100608.

The previous prime is 214063. The next prime is 214069. The reversal of 214064 is 460412.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a plaindrome in base 9.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 214064.

It is not an unprimeable number, because it can be changed into a prime (214063) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 122 + ... + 665.

2²¹⁴⁰⁶⁴ is an apocalyptic number.

It is an amenable number.

214064 is an abundant number, since it is smaller than the sum of its proper divisors (225640).

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

214064 is a wasteful number, since it uses less digits than its factorization.

214064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 812 (or 806 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 214064 is about 462.6705091099. The cubic root of 214064 is about 59.8202024932.

Adding to 214064 its reverse (460412), we get a palindrome (674476).

The spelling of 214064 in words is "two hundred fourteen thousand, sixty-four".