34584041 has 2 divisors, whose sum is σ = 34584042. Its totient is φ = 34584040.

The previous prime is 34584023. The next prime is 34584059. The reversal of 34584041 is 14048543.

It is a balanced prime because it is at equal distance from previous prime (34584023) and next prime (34584059).

It can be written as a sum of positive squares in only one way, i.e., 20894041 + 13690000 = 4571^2 + 3700^2 .

It is a cyclic number.

It is not a de Polignac number, because 34584041 - 2⁶ = 34583977 is a prime.

It is a super-3 number, since 3×34584041³ (a number of 24 digits) contains 333 as substring.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 34583995 and 34584013.

It is not a weakly prime, because it can be changed into another prime (34584061) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17292020 + 17292021.

It is an arithmetic number, because the mean of its divisors is an integer number (17292021).

Almost surely, 2^34584041 is an apocalyptic number.

It is an amenable number.

34584041 is a deficient number, since it is larger than the sum of its proper divisors (1).

34584041 is an equidigital number, since it uses as much as digits as its factorization.

34584041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7680, while the sum is 29.

The square root of 34584041 is about 5880.8197557824. The cubic root of 34584041 is about 325.8056257832.

The spelling of 34584041 in words is "thirty-four million, five hundred eighty-four thousand, forty-one".