14629125 has 32 divisors (see below), whose sum is σ = 27825408. Its totient is φ = 6686400.

The previous prime is 14629099. The next prime is 14629151. The reversal of 14629125 is 52192641.

14629125 = 893² + 894² + ... + 910².

It is an interprime number because it is at equal distance from previous prime (14629099) and next prime (14629151).

It is not a de Polignac number, because 14629125 - 2¹¹ = 14627077 is a prime.

It is a super-3 number, since 3×14629125³ (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 14629092 and 14629101.

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, 162 + ... + 5411.

It is an arithmetic number, because the mean of its divisors is an integer number (869544).

Almost surely, 2^14629125 is an apocalyptic number.

14629125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

14629125 is a deficient number, since it is larger than the sum of its proper divisors (13196283).

14629125 is an equidigital number, since it uses as much as digits as its factorization.

14629125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5598 (or 5588 counting only the distinct ones).

The product of its digits is 4320, while the sum is 30.

The square root of 14629125 is about 3824.8039165427. The cubic root of 14629125 is about 244.5716519187.

The spelling of 14629125 in words is "fourteen million, six hundred twenty-nine thousand, one hundred twenty-five".