414212033 has 2 divisors, whose sum is σ = 414212034. Its totient is φ = 414212032.

The previous prime is 414212011. The next prime is 414212059. The reversal of 414212033 is 330212414.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 399520144 + 14691889 = 19988^2 + 3833^2 .

It is a cyclic number.

It is not a de Polignac number, because 414212033 - 2⁶ = 414211969 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 414211996 and 414212014.

It is not a weakly prime, because it can be changed into another prime (414212063) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207106016 + 207106017.

It is an arithmetic number, because the mean of its divisors is an integer number (207106017).

Almost surely, 2^414212033 is an apocalyptic number.

It is an amenable number.

414212033 is a deficient number, since it is larger than the sum of its proper divisors (1).

414212033 is an equidigital number, since it uses as much as digits as its factorization.

414212033 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 414212033 is about 20352.1997091224. The cubic root of 414212033 is about 745.4312072097.

Adding to 414212033 its reverse (330212414), we get a palindrome (744424447).

The spelling of 414212033 in words is "four hundred fourteen million, two hundred twelve thousand, thirty-three".