29116 has 12 divisors (see below), whose sum is σ = 52920. Its totient is φ = 14000.

The previous prime is 29101. The next prime is 29123. The reversal of 29116 is 61192.

It is a junction number, because it is equal to n+sod(n) for n = 29093 and 29102.

It is a congruent number.

It is an unprimeable number.

29116 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10 + ... + 241.

It is an arithmetic number, because the mean of its divisors is an integer number (4410).

2²⁹¹¹⁶ is an apocalyptic number.

It is an amenable number.

29116 is a deficient number, since it is larger than the sum of its proper divisors (23804).

29116 is a wasteful number, since it uses less digits than its factorization.

29116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 282 counting only the distinct ones).

The product of its digits is 108, while the sum is 19.

The square root of 29116 is about 170.6341114783. The cubic root of 29116 is about 30.7640779833.

It can be divided in two parts, 291 and 16, that multiplied together give a triangular number (4656 = T₉₆).

The spelling of 29116 in words is "twenty-nine thousand, one hundred sixteen".