413214 has 16 divisors (see below), whose sum is σ = 840720. Its totient is φ = 135360.

The previous prime is 413207. The next prime is 413233. The reversal of 413214 is 412314.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 413193 and 413202.

It is a congruent number.

It is an unprimeable number.

413214 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 199 + ... + 930.

It is an arithmetic number, because the mean of its divisors is an integer number (52545).

2⁴¹³²¹⁴ is an apocalyptic number.

413214 is an abundant number, since it is smaller than the sum of its proper divisors (427506).

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

413214 is a wasteful number, since it uses less digits than its factorization.

413214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1195.

The product of its digits is 96, while the sum is 15.

The square root of 413214 is about 642.8172368566. The cubic root of 413214 is about 74.4832026752.

Adding to 413214 its reverse (412314), we get a palindrome (825528).

Subtracting from 413214 its reverse (412314), we obtain a square (900 = 30²).

The spelling of 413214 in words is "four hundred thirteen thousand, two hundred fourteen".