214409 has 4 divisors (see below), whose sum is σ = 230916. Its totient is φ = 197904.

The previous prime is 214399. The next prime is 214433. The reversal of 214409 is 904412.

214409 = 78² + 79² + ... + 103².

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 16384 + 198025 = 128^2 + 445^2 .

It is a cyclic number.

It is not a de Polignac number, because 214409 - 2¹⁶ = 148873 is a prime.

It is a Duffinian number.

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214439) 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, 8234 + ... + 8259.

It is an arithmetic number, because the mean of its divisors is an integer number (57729).

2²¹⁴⁴⁰⁹ is an apocalyptic number.

It is an amenable number.

214409 is a deficient number, since it is larger than the sum of its proper divisors (16507).

214409 is a wasteful number, since it uses less digits than its factorization.

214409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16506.

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 214409 is about 463.0431945294. The cubic root of 214409 is about 59.8523220036.

The spelling of 214409 in words is "two hundred fourteen thousand, four hundred nine".