705735282 has 64 divisors (see below), whose sum is σ = 1642475520. Its totient is φ = 197997696.

The previous prime is 705735257. The next prime is 705735293. The reversal of 705735282 is 282537507.

It is a self number, because there is not a number n which added to its sum of digits gives 705735282.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 752718 + ... + 753654.

It is an arithmetic number, because the mean of its divisors is an integer number (25663680).

Almost surely, 2^705735282 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 705735282, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (821237760).

705735282 is an abundant number, since it is smaller than the sum of its proper divisors (936740238).

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

705735282 is a wasteful number, since it uses less digits than its factorization.

705735282 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1255.

The product of its (nonzero) digits is 117600, while the sum is 39.

The square root of 705735282 is about 26565.6786474579. The cubic root of 705735282 is about 890.3223517759.

It can be divided in two parts, 70573 and 5282, that added together give a triangular number (75855 = T₃₈₉).

The spelling of 705735282 in words is "seven hundred five million, seven hundred thirty-five thousand, two hundred eighty-two".