34539129 has 15 divisors (see below), whose sum is σ = 51674623. Its totient is φ = 22990824.

The previous prime is 34539119. The next prime is 34539143. The reversal of 34539129 is 92193543.

It is a happy number.

The square root of 34539129 is 5877.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 8037225 + 26501904 = 2835^2 + 5148^2 .

It is not a de Polignac number, because 34539129 - 2¹⁵ = 34506361 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34539093 and 34539102.

It is not an unprimeable number, because it can be changed into a prime (34539119) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 52567 + ... + 53219.

Almost surely, 2^34539129 is an apocalyptic number.

34539129 is the 5877-th square number.

34539129 is the 2939-th centered octagonal number.

It is an amenable number.

34539129 is a deficient number, since it is larger than the sum of its proper divisors (17135494).

34539129 is an frugal number, since it uses more digits than its factorization.

34539129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1318 (or 656 counting only the distinct ones).

The product of its digits is 29160, while the sum is 36.

The cubic root of 34539129 is about 325.6645306370.

Multiplying 34539129 by its sum of digits (36), we get a square (1243408644 = 35262²).

The spelling of 34539129 in words is "thirty-four million, five hundred thirty-nine thousand, one hundred twenty-nine".