34257001 has 2 divisors, whose sum is σ = 34257002. Its totient is φ = 34257000.

The previous prime is 34256983. The next prime is 34257043. The reversal of 34257001 is 10075243.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 18662400 + 15594601 = 4320^2 + 3949^2 .

It is a cyclic number.

It is not a de Polignac number, because 34257001 - 2⁹ = 34256489 is a prime.

It is not a weakly prime, because it can be changed into another prime (34257071) 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, 17128500 + 17128501.

It is an arithmetic number, because the mean of its divisors is an integer number (17128501).

Almost surely, 2^34257001 is an apocalyptic number.

It is an amenable number.

34257001 is a deficient number, since it is larger than the sum of its proper divisors (1).

34257001 is an equidigital number, since it uses as much as digits as its factorization.

34257001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 840, while the sum is 22.

The square root of 34257001 is about 5852.9480605931. The cubic root of 34257001 is about 324.7753903687.

The spelling of 34257001 in words is "thirty-four million, two hundred fifty-seven thousand, one".