29314116 has 48 divisors (see below), whose sum is σ = 81849600. Its totient is φ = 9019296.

The previous prime is 29314073. The next prime is 29314123. The reversal of 29314116 is 61141392.

It is a super-2 number, since 2×29314116² = 1718634793722912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 29314116.

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 15 ways as a sum of consecutive naturals, for example, 9036 + ... + 11843.

It is an arithmetic number, because the mean of its divisors is an integer number (1705200).

Almost surely, 2^29314116 is an apocalyptic number.

29314116 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

29314116 is an abundant number, since it is smaller than the sum of its proper divisors (52535484).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

29314116 is a wasteful number, since it uses less digits than its factorization.

29314116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20905 (or 20897 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 29314116 is about 5414.2511947637. The cubic root of 29314116 is about 308.3369702680.

The spelling of 29314116 in words is "twenty-nine million, three hundred fourteen thousand, one hundred sixteen".