34137629 has 2 divisors, whose sum is σ = 34137630. Its totient is φ = 34137628.

The previous prime is 34137619. The next prime is 34137637. The reversal of 34137629 is 92673143.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 21141604 + 12996025 = 4598^2 + 3605^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-34137629 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34137619) 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, 17068814 + 17068815.

It is an arithmetic number, because the mean of its divisors is an integer number (17068815).

Almost surely, 2^34137629 is an apocalyptic number.

It is an amenable number.

34137629 is a deficient number, since it is larger than the sum of its proper divisors (1).

34137629 is an equidigital number, since it uses as much as digits as its factorization.

34137629 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 27216, while the sum is 35.

The square root of 34137629 is about 5842.7415653955. The cubic root of 34137629 is about 324.3977137308.

The spelling of 34137629 in words is "thirty-four million, one hundred thirty-seven thousand, six hundred twenty-nine".