29935125 has 96 divisors (see below), whose sum is σ = 61326720. Its totient is φ = 13920000.

The previous prime is 29935123. The next prime is 29935133. The reversal of 29935125 is 52153992.

It is a happy number.

It is not a de Polignac number, because 29935125 - 2¹ = 29935123 is a prime.

It is a super-2 number, since 2×29935125² = 1792223417531250, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 29935125.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29935123) 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 95 ways as a sum of consecutive naturals, for example, 507346 + ... + 507404.

It is an arithmetic number, because the mean of its divisors is an integer number (638820).

Almost surely, 2^29935125 is an apocalyptic number.

29935125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

29935125 is an abundant number, since it is smaller than the sum of its proper divisors (31391595).

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

29935125 is a wasteful number, since it uses less digits than its factorization.

29935125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 119 counting only the distinct ones).

The product of its digits is 24300, while the sum is 36.

The square root of 29935125 is about 5471.3001197156. The cubic root of 29935125 is about 310.4991092727.

It can be divided in two parts, 2993 and 5125, that added together give a palindrome (8118).

The spelling of 29935125 in words is "twenty-nine million, nine hundred thirty-five thousand, one hundred twenty-five".