29397312 has 168 divisors, whose sum is σ = 100803456. Its totient is φ = 8008704.

The previous prime is 29397311. The next prime is 29397341. The reversal of 29397312 is 21379392.

It is a tau number, because it is divible by the number of its divisors (168).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29397311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 92578 + ... + 92894.

Almost surely, 2^29397312 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 29397312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50401728).

29397312 is an abundant number, since it is smaller than the sum of its proper divisors (71406144).

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

29397312 is a wasteful number, since it uses less digits than its factorization.

29397312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 352 counting only the distinct ones).

The product of its digits is 20412, while the sum is 36.

The square root of 29397312 is about 5421.9288080903. The cubic root of 29397312 is about 308.6283904249.

The spelling of 29397312 in words is "twenty-nine million, three hundred ninety-seven thousand, three hundred twelve".