29126981 has 24 divisors (see below), whose sum is σ = 34081920. Its totient is φ = 24800256.

The previous prime is 29126963. The next prime is 29126989. The reversal of 29126981 is 18962192.

It is not a de Polignac number, because 29126981 - 2⁶ = 29126917 is a prime.

It is a super-3 number, since 3×29126981³ (a number of 23 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29126989) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 150821 + ... + 151013.

It is an arithmetic number, because the mean of its divisors is an integer number (1420080).

Almost surely, 2^29126981 is an apocalyptic number.

It is an amenable number.

29126981 is a deficient number, since it is larger than the sum of its proper divisors (4954939).

29126981 is a wasteful number, since it uses less digits than its factorization.

29126981 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 272 counting only the distinct ones).

The product of its digits is 15552, while the sum is 38.

The square root of 29126981 is about 5396.9418192158. The cubic root of 29126981 is about 307.6794501951.

It can be divided in two parts, 291 and 26981, that added together give a palindrome (27272).

The spelling of 29126981 in words is "twenty-nine million, one hundred twenty-six thousand, nine hundred eighty-one".