414023033 has 2 divisors, whose sum is σ = 414023034. Its totient is φ = 414023032.

The previous prime is 414023017. The next prime is 414023039. The reversal of 414023033 is 330320414.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 214563904 + 199459129 = 14648^2 + 14123^2 .

It is a cyclic number.

It is not a de Polignac number, because 414023033 - 2⁴ = 414023017 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 414022996 and 414023014.

It is not a weakly prime, because it can be changed into another prime (414023039) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207011516 + 207011517.

It is an arithmetic number, because the mean of its divisors is an integer number (207011517).

Almost surely, 2^414023033 is an apocalyptic number.

It is an amenable number.

414023033 is a deficient number, since it is larger than the sum of its proper divisors (1).

414023033 is an equidigital number, since it uses as much as digits as its factorization.

414023033 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 414023033 is about 20347.5559465996. Note that the first 3 decimals coincide. The cubic root of 414023033 is about 745.3178128443.

Adding to 414023033 its reverse (330320414), we get a palindrome (744343447).

The spelling of 414023033 in words is "four hundred fourteen million, twenty-three thousand, thirty-three".