34416001 has 2 divisors, whose sum is σ = 34416002. Its totient is φ = 34416000.

The previous prime is 34415993. The next prime is 34416023. The reversal of 34416001 is 10061443.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 33918976 + 497025 = 5824^2 + 705^2 .

It is a cyclic number.

It is not a de Polignac number, because 34416001 - 2³ = 34415993 is a prime.

It is a super-2 number, since 2×34416001² = 2368922249664002, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 34416001.

It is not a weakly prime, because it can be changed into another prime (34416061) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17208000 + 17208001.

It is an arithmetic number, because the mean of its divisors is an integer number (17208001).

Almost surely, 2^34416001 is an apocalyptic number.

It is an amenable number.

34416001 is a deficient number, since it is larger than the sum of its proper divisors (1).

34416001 is an equidigital number, since it uses as much as digits as its factorization.

34416001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 34416001 is about 5866.5152347880. The cubic root of 34416001 is about 325.2770844098.

Adding to 34416001 its reverse (10061443), we get a palindrome (44477444).

The spelling of 34416001 in words is "thirty-four million, four hundred sixteen thousand, one".