705285 has 24 divisors (see below), whose sum is σ = 1397760. Its totient is φ = 322272.

The previous prime is 705277. The next prime is 705293. The reversal of 705285 is 582507.

705285 = T₂₇ + T₂₈ + ... + T₁₆₁.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (705277) and next prime (705293).

It is not a de Polignac number, because 705285 - 2³ = 705277 is a prime.

It is a Curzon number.

705285 is a lucky number.

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 705285.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 805 + ... + 1434.

It is an arithmetic number, because the mean of its divisors is an integer number (58240).

2⁷⁰⁵²⁸⁵ is an apocalyptic number.

It is an amenable number.

705285 is a deficient number, since it is larger than the sum of its proper divisors (692475).

705285 is a wasteful number, since it uses less digits than its factorization.

705285 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2257 (or 2254 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 705285 is about 839.8124790690. The cubic root of 705285 is about 89.0132959978.

It can be divided in two parts, 705 and 285, that added together give a triangular number (990 = T₄₄).

The spelling of 705285 in words is "seven hundred five thousand, two hundred eighty-five".