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29929 = 1732

29929 has 3 divisors (see below), whose sum is σ = 30103. Its totient is φ = 29756.

The previous prime is 29927. The next prime is 29947. The reversal of 29929 is 92992.

Multipling 29929 by its product of digits (2916), we get a square (87272964 = 93422).

29929 = T172 + T173.

The square root of 29929 is 173.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 27225 + 2704 = 165^2 + 52^2 .

It is not a de Polignac number, because 29929 - 21 = 29927 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 29929.

It is not an unprimeable number, because it can be changed into a prime (29921) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 87 + ... + 259.

29929 is a Friedman number, since it can be written as (92+9*9)^2, using all its digits and the basic arithmetic operations.

229929 is an apocalyptic number.

29929 is the 173-rd square number.

29929 is the 87-th centered octagonal number.

It is an amenable number.

29929 is a deficient number, since it is larger than the sum of its proper divisors (174).

29929 is an frugal number, since it uses more digits than its factorization.

29929 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 173 counting only the distinct ones).

The product of its digits is 2916, while the sum is 31.

The cubic root of 29929 is about 31.0477930844.

The spelling of 29929 in words is "twenty-nine thousand, nine hundred twenty-nine".

Divisors: 1 173 29929