29145312 has 192 divisors, whose sum is σ = 99993600. Its totient is φ = 8087040.

The previous prime is 29145289. The next prime is 29145331. The reversal of 29145312 is 21354192.

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

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 368889 + ... + 368967.

It is an arithmetic number, because the mean of its divisors is an integer number (520800).

Almost surely, 2^29145312 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 29145312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49996800).

29145312 is an abundant number, since it is smaller than the sum of its proper divisors (70848288).

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

29145312 is a wasteful number, since it uses less digits than its factorization.

29145312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 152 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 29145312 is about 5398.6398286976. The cubic root of 29145312 is about 307.7439824493.

The spelling of 29145312 in words is "twenty-nine million, one hundred forty-five thousand, three hundred twelve".