1728825 has 48 divisors (see below), whose sum is σ = 3392640. Its totient is φ = 760320.

The previous prime is 1728823. The next prime is 1728827. The reversal of 1728825 is 5288271.

It is an interprime number because it is at equal distance from previous prime (1728823) and next prime (1728827).

It is not a de Polignac number, because 1728825 - 2¹ = 1728823 is a prime.

It is a Curzon number.

1728825 is a lucky number.

It is a zygodrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (1728821) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19381 + ... + 19469.

It is an arithmetic number, because the mean of its divisors is an integer number (70680).

2^1728825 is an apocalyptic number.

1728825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1728825 is a deficient number, since it is larger than the sum of its proper divisors (1663815).

1728825 is a wasteful number, since it uses less digits than its factorization.

1728825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 141 counting only the distinct ones).

The product of its digits is 8960, while the sum is 33.

The square root of 1728825 is about 1314.8478999489. The cubic root of 1728825 is about 120.0190941838.

The spelling of 1728825 in words is "one million, seven hundred twenty-eight thousand, eight hundred twenty-five".