218413 has 8 divisors (see below), whose sum is σ = 240408. Its totient is φ = 197184.

The previous prime is 218401. The next prime is 218417. The reversal of 218413 is 314812.

It can be written as a sum of positive squares in 4 ways, for example, as 324 + 218089 = 18^2 + 467^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 218413 - 2⁵ = 218381 is a prime.

218413 is a lucky number.

It is a plaindrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (218417) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 531 + ... + 847.

It is an arithmetic number, because the mean of its divisors is an integer number (30051).

2²¹⁸⁴¹³ is an apocalyptic number.

It is an amenable number.

218413 is a deficient number, since it is larger than the sum of its proper divisors (21995).

218413 is a wasteful number, since it uses less digits than its factorization.

218413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383.

The product of its digits is 192, while the sum is 19.

The square root of 218413 is about 467.3467663310. The cubic root of 218413 is about 60.2225990656. Note that the first 3 decimals are identical.

It can be divided in two parts, 2184 and 13, that added together give a cube (2197 = 13³).

The spelling of 218413 in words is "two hundred eighteen thousand, four hundred thirteen".