705625 has 10 divisors (see below), whose sum is σ = 882530. Its totient is φ = 564000.

The previous prime is 705613. The next prime is 705631. The reversal of 705625 is 526507.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 447561 + 258064 = 669^2 + 508^2 .

It is not a de Polignac number, because 705625 - 2⁹ = 705113 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a self number, because there is not a number n which added to its sum of digits gives 705625.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 61 + ... + 1189.

It is an arithmetic number, because the mean of its divisors is an integer number (88253).

2⁷⁰⁵⁶²⁵ is an apocalyptic number.

It is an amenable number.

705625 is a deficient number, since it is larger than the sum of its proper divisors (176905).

705625 is an equidigital number, since it uses as much as digits as its factorization.

705625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1149 (or 1134 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 25.

The square root of 705625 is about 840.0148808206. The cubic root of 705625 is about 89.0275973836.

Subtracting from 705625 its sum of digits (25), we obtain a square (705600 = 840²).

It can be divided in two parts, 7056 and 25, that multiplied together give a square (176400 = 420²).

The spelling of 705625 in words is "seven hundred five thousand, six hundred twenty-five".