29008961 has 12 divisors (see below), whose sum is σ = 30780180. Its totient is φ = 27306720.

The previous prime is 29008951. The next prime is 29008979. The reversal of 29008961 is 16980092.

It can be written as a sum of positive squares in 2 ways, for example, as 13359025 + 15649936 = 3655^2 + 3956^2 .

It is not a de Polignac number, because 29008961 - 2¹⁴ = 28992577 is a prime.

It is a super-3 number, since 3×29008961³ (a number of 23 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (29008951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 53351 + ... + 53891.

It is an arithmetic number, because the mean of its divisors is an integer number (2565015).

Almost surely, 2^29008961 is an apocalyptic number.

It is an amenable number.

29008961 is a deficient number, since it is larger than the sum of its proper divisors (1771219).

29008961 is an equidigital number, since it uses as much as digits as its factorization.

With its predecessor (29008960) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (613).

29008961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656 (or 613 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 35.

The square root of 29008961 is about 5385.9967508345. The cubic root of 29008961 is about 307.2633241730.

Adding to 29008961 its sum of digits (35), we get a square (29008996 = 5386²).

The spelling of 29008961 in words is "twenty-nine million, eight thousand, nine hundred sixty-one".