34629 has 16 divisors (see below), whose sum is σ = 56448. Its totient is φ = 18432.

The previous prime is 34613. The next prime is 34631. The reversal of 34629 is 92643.

It is not a de Polignac number, because 34629 - 2⁴ = 34613 is a prime.

34629 is a modest number, since divided by 629 gives 34 as remainder.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 34599 and 34608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34649) 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 in 15 ways as a sum of consecutive naturals, for example, 309 + ... + 405.

It is an arithmetic number, because the mean of its divisors is an integer number (3528).

2³⁴⁶²⁹ is an apocalyptic number.

It is an amenable number.

34629 is a deficient number, since it is larger than the sum of its proper divisors (21819).

34629 is a wasteful number, since it uses less digits than its factorization.

34629 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124.

The product of its digits is 1296, while the sum is 24.

The square root of 34629 is about 186.0886885332. The cubic root of 34629 is about 32.5946746291.

Subtracting from 34629 its product of digits (1296), we obtain a palindrome (33333).

The spelling of 34629 in words is "thirty-four thousand, six hundred twenty-nine".