185125 has 8 divisors (see below), whose sum is σ = 231192. Its totient is φ = 148000.

The previous prime is 185123. The next prime is 185131. The reversal of 185125 is 521581.

185125 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 11236 + 173889 = 106^2 + 417^2 .

It is not a de Polignac number, because 185125 - 2¹ = 185123 is a prime.

It is a Duffinian number.

185125 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 185096 and 185105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (185123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 616 + ... + 865.

It is an arithmetic number, because the mean of its divisors is an integer number (28899).

2¹⁸⁵¹²⁵ is an apocalyptic number.

It is an amenable number.

185125 is a deficient number, since it is larger than the sum of its proper divisors (46067).

185125 is an equidigital number, since it uses as much as digits as its factorization.

185125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1496 (or 1486 counting only the distinct ones).

The product of its digits is 400, while the sum is 22.

The square root of 185125 is about 430.2615483633. The cubic root of 185125 is about 56.9930226403.

The spelling of 185125 in words is "one hundred eighty-five thousand, one hundred twenty-five".