27144125 has 16 divisors (see below), whose sum is σ = 34797360. Its totient is φ = 21124800.

The previous prime is 27144119. The next prime is 27144133. The reversal of 27144125 is 52144172.

It can be written as a sum of positive squares in 8 ways, for example, as 8988004 + 18156121 = 2998^2 + 4261^2 .

It is not a de Polignac number, because 27144125 - 2¹⁶ = 27078589 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 27144094 and 27144103.

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 15 ways as a sum of consecutive naturals, for example, 1691 + ... + 7559.

It is an arithmetic number, because the mean of its divisors is an integer number (2174835).

Almost surely, 2^27144125 is an apocalyptic number.

27144125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

27144125 is a deficient number, since it is larger than the sum of its proper divisors (7653235).

27144125 is an equidigital number, since it uses as much as digits as its factorization.

27144125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5921 (or 5911 counting only the distinct ones).

The product of its digits is 2240, while the sum is 26.

The square root of 27144125 is about 5210.0023992317. The cubic root of 27144125 is about 300.5328493080.

Adding to 27144125 its reverse (52144172), we get a palindrome (79288297).

It can be divided in two parts, 271441 and 25, that multiplied together give a square (6786025 = 2605²).

The spelling of 27144125 in words is "twenty-seven million, one hundred forty-four thousand, one hundred twenty-five".