1729125 has 48 divisors (see below), whose sum is σ = 3285360. Its totient is φ = 873600.

The previous prime is 1729109. The next prime is 1729127. The reversal of 1729125 is 5219271.

It can be written as a sum of positive squares in 8 ways, for example, as 367236 + 1361889 = 606^2 + 1167^2 .

It is not a de Polignac number, because 1729125 - 2⁴ = 1729109 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

Its product of digits (1260) is a multiple of the sum of its prime divisors (90).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1729127) 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, 32599 + ... + 32651.

It is an arithmetic number, because the mean of its divisors is an integer number (68445).

2^1729125 is an apocalyptic number.

1729125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1729125 is a deficient number, since it is larger than the sum of its proper divisors (1556235).

1729125 is a wasteful number, since it uses less digits than its factorization.

1729125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 90 counting only the distinct ones).

The product of its digits is 1260, while the sum is 27.

The square root of 1729125 is about 1314.9619766366. The cubic root of 1729125 is about 120.0260360173.

The spelling of 1729125 in words is "one million, seven hundred twenty-nine thousand, one hundred twenty-five".