34800061 has 2 divisors, whose sum is σ = 34800062. Its totient is φ = 34800060.

The previous prime is 34800043. The next prime is 34800067. The reversal of 34800061 is 16000843.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 30415225 + 4384836 = 5515^2 + 2094^2 .

It is a cyclic number.

It is not a de Polignac number, because 34800061 - 2⁹ = 34799549 is a prime.

It is a super-2 number, since 2×34800061² = 2422088491207442, which contains 22 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34800067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17400030 + 17400031.

It is an arithmetic number, because the mean of its divisors is an integer number (17400031).

Almost surely, 2^34800061 is an apocalyptic number.

It is an amenable number.

34800061 is a deficient number, since it is larger than the sum of its proper divisors (1).

34800061 is an equidigital number, since it uses as much as digits as its factorization.

34800061 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 34800061 is about 5899.1576517330. The cubic root of 34800061 is about 326.4825709666.

The spelling of 34800061 in words is "thirty-four million, eight hundred thousand, sixty-one".