29289141 has 32 divisors (see below), whose sum is σ = 51200000. Its totient is φ = 16193520.

The previous prime is 29289137. The next prime is 29289151. The reversal of 29289141 is 14198292.

29289141 is nontrivially palindromic in base 12.

It is not a de Polignac number, because 29289141 - 2² = 29289137 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 29289096 and 29289105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29289151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3360 + ... + 8358.

It is an arithmetic number, because the mean of its divisors is an integer number (1600000).

Almost surely, 2^29289141 is an apocalyptic number.

29289141 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

29289141 is a deficient number, since it is larger than the sum of its proper divisors (21910859).

29289141 is a wasteful number, since it uses less digits than its factorization.

29289141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5046 (or 5040 counting only the distinct ones).

The product of its digits is 10368, while the sum is 36.

The square root of 29289141 is about 5411.9442901789. The cubic root of 29289141 is about 308.2493798864.

The spelling of 29289141 in words is "twenty-nine million, two hundred eighty-nine thousand, one hundred forty-one".