35129 has 2 divisors, whose sum is σ = 35130. Its totient is φ = 35128.

The previous prime is 35117. The next prime is 35141. The reversal of 35129 is 92153.

It is a balanced prime because it is at equal distance from previous prime (35117) and next prime (35141).

It can be written as a sum of positive squares in only one way, i.e., 21904 + 13225 = 148^2 + 115^2 .

It is an emirp because it is prime and its reverse (92153) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 35129 - 2¹² = 31033 is a prime.

It is equal to p₃₇₄₆ and since 35129 and 3746 have the same sum of digits, it is a Honaker prime.

It is a nialpdrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 35129.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (35149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17564 + 17565.

It is an arithmetic number, because the mean of its divisors is an integer number (17565).

2³⁵¹²⁹ is an apocalyptic number.

It is an amenable number.

35129 is a deficient number, since it is larger than the sum of its proper divisors (1).

35129 is an equidigital number, since it uses as much as digits as its factorization.

35129 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 270, while the sum is 20.

The square root of 35129 is about 187.4273192467. The cubic root of 35129 is about 32.7508012158.

The spelling of 35129 in words is "thirty-five thousand, one hundred twenty-nine".