703125 has 24 divisors (see below), whose sum is σ = 1269528. Its totient is φ = 375000.

The previous prime is 703123. The next prime is 703127. The reversal of 703125 is 521307.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (703123) and next prime (703127).

It can be written as a sum of positive squares in 4 ways, for example, as 695556 + 7569 = 834^2 + 87^2 .

It is not a de Polignac number, because 703125 - 2¹ = 703123 is a prime.

It is a nialpdrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 703098 and 703107.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 703125.

It is not an unprimeable number, because it can be changed into a prime (703121) 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, 140623 + ... + 140627.

It is an arithmetic number, because the mean of its divisors is an integer number (52897).

703125 is a Friedman number, since it can be written as 5^7*3*(2+1+0), using all its digits and the basic arithmetic operations.

2⁷⁰³¹²⁵ is an apocalyptic number.

703125 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

703125 is a deficient number, since it is larger than the sum of its proper divisors (566403).

703125 is an frugal number, since it uses more digits than its factorization.

703125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41 (or 8 counting only the distinct ones).

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

The square root of 703125 is about 838.5254915624. The cubic root of 703125 is about 88.9223326123.

It can be divided in two parts, 7031 and 25, that added together give a square (7056 = 84²).

The spelling of 703125 in words is "seven hundred three thousand, one hundred twenty-five".