29791125 has 128 divisors (see below), whose sum is σ = 68490240. Its totient is φ = 12441600.

The previous prime is 29791121. The next prime is 29791129. The reversal of 29791125 is 52119792.

It is an interprime number because it is at equal distance from previous prime (29791121) and next prime (29791129).

It is not a de Polignac number, because 29791125 - 2² = 29791121 is a prime.

It is a super-2 number, since 2×29791125² = 1775022257531250, which contains 22 as substring.

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 29791125 = 5³ + 310³ = 66³ + 309³.

It is a self number, because there is not a number n which added to its sum of digits gives 29791125.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29791121) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 307077 + ... + 307173.

It is an arithmetic number, because the mean of its divisors is an integer number (535080).

Almost surely, 2^29791125 is an apocalyptic number.

29791125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

29791125 is an abundant number, since it is smaller than the sum of its proper divisors (38699115).

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

29791125 is a wasteful number, since it uses less digits than its factorization.

29791125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 125 counting only the distinct ones).

The product of its digits is 11340, while the sum is 36.

The square root of 29791125 is about 5458.1246779457. The cubic root of 29791125 is about 310.0004335755. Note that the first 3 decimals are identical.

It can be divided in two parts, 29791 and 125, that multiplied together give a cube (3723875 = 155³).

The spelling of 29791125 in words is "twenty-nine million, seven hundred ninety-one thousand, one hundred twenty-five".