34638257 has 2 divisors, whose sum is σ = 34638258. Its totient is φ = 34638256.

The previous prime is 34638239. The next prime is 34638269. The reversal of 34638257 is 75283643.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 21381376 + 13256881 = 4624^2 + 3641^2 .

It is a cyclic number.

It is not a de Polignac number, because 34638257 - 2⁶ = 34638193 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 34638257.

It is not a weakly prime, because it can be changed into another prime (34638217) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17319128 + 17319129.

It is an arithmetic number, because the mean of its divisors is an integer number (17319129).

Almost surely, 2^34638257 is an apocalyptic number.

It is an amenable number.

34638257 is a deficient number, since it is larger than the sum of its proper divisors (1).

34638257 is an equidigital number, since it uses as much as digits as its factorization.

34638257 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 120960, while the sum is 38.

The square root of 34638257 is about 5885.4275120844. The cubic root of 34638257 is about 325.9757876556.

The spelling of 34638257 in words is "thirty-four million, six hundred thirty-eight thousand, two hundred fifty-seven".