34729825 has 12 divisors (see below), whose sum is σ = 46378108. Its totient is φ = 25646400.

The previous prime is 34729817. The next prime is 34729831. The reversal of 34729825 is 52892743.

34729825 = T₁₃₁₅ + T₁₃₁₆ + ... + T₁₃₅₃.

34729825 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 3111696 + 31618129 = 1764^2 + 5623^2 .

It is not a de Polignac number, because 34729825 - 2³ = 34729817 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 53106 + ... + 53755.

Almost surely, 2^34729825 is an apocalyptic number.

It is an amenable number.

34729825 is a deficient number, since it is larger than the sum of its proper divisors (11648283).

34729825 is a wasteful number, since it uses less digits than its factorization.

34729825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106884 (or 106879 counting only the distinct ones).

The product of its digits is 120960, while the sum is 40.

The square root of 34729825 is about 5893.2015916648. The cubic root of 34729825 is about 326.2627794547.

The spelling of 34729825 in words is "thirty-four million, seven hundred twenty-nine thousand, eight hundred twenty-five".