414333113 has 2 divisors, whose sum is σ = 414333114. Its totient is φ = 414333112.

The previous prime is 414333107. The next prime is 414333119. The reversal of 414333113 is 311333414.

It is a balanced prime because it is at equal distance from previous prime (414333107) and next prime (414333119).

It can be written as a sum of positive squares in only one way, i.e., 294911929 + 119421184 = 17173^2 + 10928^2 .

It is a cyclic number.

It is not a de Polignac number, because 414333113 - 2¹⁴ = 414316729 is a prime.

It is not a weakly prime, because it can be changed into another prime (414333119) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207166556 + 207166557.

It is an arithmetic number, because the mean of its divisors is an integer number (207166557).

Almost surely, 2^414333113 is an apocalyptic number.

It is an amenable number.

414333113 is a deficient number, since it is larger than the sum of its proper divisors (1).

414333113 is an equidigital number, since it uses as much as digits as its factorization.

414333113 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1296, while the sum is 23.

The square root of 414333113 is about 20355.1741088108. The cubic root of 414333113 is about 745.5038334738.

Adding to 414333113 its reverse (311333414), we get a palindrome (725666527).

The spelling of 414333113 in words is "four hundred fourteen million, three hundred thirty-three thousand, one hundred thirteen".