614125 has 16 divisors (see below), whose sum is σ = 814320. Its totient is φ = 462400.

The previous prime is 614113. The next prime is 614129. The reversal of 614125 is 521416.

The cubic root of 614125 is 85.

It is a perfect power (a cube), and thus also a powerful number.

It can be written as a sum of positive squares in 8 ways, for example, as 170569 + 443556 = 413^2 + 666^2 .

It is not a de Polignac number, because 614125 - 2⁵ = 614093 is a prime.

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (614129) 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 15 ways as a sum of consecutive naturals, for example, 36117 + ... + 36133.

It is an arithmetic number, because the mean of its divisors is an integer number (50895).

614125 is a Friedman number, since it can be written as (14*6+1)^(5-2), using all its digits and the basic arithmetic operations.

2⁶¹⁴¹²⁵ is an apocalyptic number.

It is an amenable number.

614125 is a deficient number, since it is larger than the sum of its proper divisors (200195).

614125 is an frugal number, since it uses more digits than its factorization.

614125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 22 counting only the distinct ones).

The product of its digits is 240, while the sum is 19.

The square root of 614125 is about 783.6612788699.

It can be divided in two parts, 61 and 4125, that added together give a triangular number (4186 = T₉₁).

The spelling of 614125 in words is "six hundred fourteen thousand, one hundred twenty-five".