29825136 has 120 divisors (see below), whose sum is σ = 95946240. Its totient is φ = 8553600.

The previous prime is 29825129. The next prime is 29825143. The reversal of 29825136 is 63152892.

It is an interprime number because it is at equal distance from previous prime (29825129) and next prime (29825143).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 29825136.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 29601 + ... + 30591.

It is an arithmetic number, because the mean of its divisors is an integer number (799552).

Almost surely, 2^29825136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29825136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47973120).

29825136 is an abundant number, since it is smaller than the sum of its proper divisors (66121104).

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

29825136 is a wasteful number, since it uses less digits than its factorization.

29825136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1035 (or 1026 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 29825136 is about 5461.2394197654. The cubic root of 29825136 is about 310.1183592440.

It can be divided in two parts, 2982 and 5136, that added together give a palindrome (8118).

The spelling of 29825136 in words is "twenty-nine million, eight hundred twenty-five thousand, one hundred thirty-six".