705217032 has 48 divisors (see below), whose sum is σ = 2056885740. Its totient is φ = 216989568.

The previous prime is 705217031. The next prime is 705217111. The reversal of 705217032 is 230712507.

705217032 is a `hidden beast` number, since 70 + 521 + 70 + 3 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 693479556 + 11737476 = 26334^2 + 3426^2 .

It is a junction number, because it is equal to n+sod(n) for n = 705216987 and 705217005.

It is not an unprimeable number, because it can be changed into a prime (705217031) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 375783 + ... + 377654.

Almost surely, 2^705217032 is an apocalyptic number.

705217032 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

705217032 is an abundant number, since it is smaller than the sum of its proper divisors (1351668708).

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

705217032 is a wasteful number, since it uses less digits than its factorization.

705217032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 753462 (or 753455 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 705217032 is about 26555.9227292143. The cubic root of 705217032 is about 890.1043651547.

Adding to 705217032 its reverse (230712507), we get a palindrome (935929539).

The spelling of 705217032 in words is "seven hundred five million, two hundred seventeen thousand, thirty-two".