29089125 has 120 divisors (see below), whose sum is σ = 62177544. Its totient is φ = 13478400.

The previous prime is 29089087. The next prime is 29089139. The reversal of 29089125 is 52198092.

It can be written as a sum of positive squares in 12 ways, for example, as 26040609 + 3048516 = 5103^2 + 1746^2 .

It is not a de Polignac number, because 29089125 - 2⁹ = 29088613 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 29089125.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1711117 + ... + 1711133.

Almost surely, 2^29089125 is an apocalyptic number.

29089125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

29089125 is an abundant number, since it is smaller than the sum of its proper divisors (33088419).

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

29089125 is a wasteful number, since it uses less digits than its factorization.

29089125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 29089125 is about 5393.4335075163. The cubic root of 29089125 is about 307.5460965992.

The spelling of 29089125 in words is "twenty-nine million, eighty-nine thousand, one hundred twenty-five".