1003725 has 24 divisors (see below), whose sum is σ = 1845120. Its totient is φ = 534960.

The previous prime is 1003711. The next prime is 1003729. The reversal of 1003725 is 5273001.

1003725 = 29³ + 30³ + ... + 46³.

It is not a de Polignac number, because 1003725 - 2⁵ = 1003693 is a prime.

It is a Curzon number.

1003725 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 1003698 and 1003707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1003729) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 69 + ... + 1418.

It is an arithmetic number, because the mean of its divisors is an integer number (76880).

2^1003725 is an apocalyptic number.

1003725 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1003725 is a deficient number, since it is larger than the sum of its proper divisors (841395).

1003725 is a wasteful number, since it uses less digits than its factorization.

1003725 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1506 (or 1495 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 1003725 is about 1001.8607687698. The cubic root of 1003725 is about 100.1240128113.

Adding to 1003725 its reverse (5273001), we get a palindrome (6276726).

It can be divided in two parts, 1003 and 725, that added together give a cube (1728 = 12³).

The spelling of 1003725 in words is "one million, three thousand, seven hundred twenty-five".