414333121 has 8 divisors (see below), whose sum is σ = 428959080. Its totient is φ = 399729792.

The previous prime is 414333119. The next prime is 414333131. The reversal of 414333121 is 121333414.

It can be written as a sum of positive squares in 4 ways, for example, as 183900721 + 230432400 = 13561^2 + 15180^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 414333121 - 2¹ = 414333119 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 414333092 and 414333101.

It is not an unprimeable number, because it can be changed into a prime (414333131) 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, 37221 + ... + 47053.

It is an arithmetic number, because the mean of its divisors is an integer number (53619885).

Almost surely, 2^414333121 is an apocalyptic number.

It is an amenable number.

414333121 is a deficient number, since it is larger than the sum of its proper divisors (14625959).

414333121 is a wasteful number, since it uses less digits than its factorization.

414333121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11315.

The product of its digits is 864, while the sum is 22.

The square root of 414333121 is about 20355.1743053210. The cubic root of 414333121 is about 745.5038382719.

Adding to 414333121 its reverse (121333414), we get a palindrome (535666535).

The spelling of 414333121 in words is "four hundred fourteen million, three hundred thirty-three thousand, one hundred twenty-one".