1829125 has 8 divisors (see below), whose sum is σ = 2282904. Its totient is φ = 1463200.

The previous prime is 1829119. The next prime is 1829137. The reversal of 1829125 is 5219281.

It can be written as a sum of positive squares in 4 ways, for example, as 543169 + 1285956 = 737^2 + 1134^2 .

It is not a de Polignac number, because 1829125 - 2¹⁹ = 1304837 is a prime.

It is a super-3 number, since 3×1829125³ = 18359101020333984375, which contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1829093 and 1829102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7192 + ... + 7441.

It is an arithmetic number, because the mean of its divisors is an integer number (285363).

2^1829125 is an apocalyptic number.

It is an amenable number.

1829125 is a deficient number, since it is larger than the sum of its proper divisors (453779).

1829125 is an equidigital number, since it uses as much as digits as its factorization.

1829125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14648 (or 14638 counting only the distinct ones).

The product of its digits is 1440, while the sum is 28.

The square root of 1829125 is about 1352.4514778727. The cubic root of 1829125 is about 122.2966221335.

The spelling of 1829125 in words is "one million, eight hundred twenty-nine thousand, one hundred twenty-five".