705375 has 64 divisors (see below), whose sum is σ = 1497600. Its totient is φ = 324000.

The previous prime is 705317. The next prime is 705389. The reversal of 705375 is 573507.

It is not a de Polignac number, because 705375 - 2⁷ = 705247 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 37116 + ... + 37134.

It is an arithmetic number, because the mean of its divisors is an integer number (23400).

2⁷⁰⁵³⁷⁵ is an apocalyptic number.

705375 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

705375 is an abundant number, since it is smaller than the sum of its proper divisors (792225).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

705375 is a wasteful number, since it uses less digits than its factorization.

705375 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 3675, while the sum is 27.

The square root of 705375 is about 839.8660607502. The cubic root of 705375 is about 89.0170821060.

It can be divided in two parts, 70 and 5375, that added together give a palindrome (5445).

The spelling of 705375 in words is "seven hundred five thousand, three hundred seventy-five".