705533367 has 32 divisors (see below), whose sum is σ = 1174777344. Its totient is φ = 365904000.

The previous prime is 705533363. The next prime is 705533369. The reversal of 705533367 is 763335507.

It is not a de Polignac number, because 705533367 - 2² = 705533363 is a prime.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (705533363) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 159753 + ... + 164109.

It is an arithmetic number, because the mean of its divisors is an integer number (36711792).

Almost surely, 2^705533367 is an apocalyptic number.

705533367 is a gapful number since it is divisible by the number (77) formed by its first and last digit.

705533367 is a deficient number, since it is larger than the sum of its proper divisors (469243977).

705533367 is a wasteful number, since it uses less digits than its factorization.

705533367 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5079.

The product of its (nonzero) digits is 198450, while the sum is 39.

The square root of 705533367 is about 26561.8780774252. The cubic root of 705533367 is about 890.2374348628.

It can be divided in two parts, 70553 and 3367, that added together give a triangular number (73920 = T₃₈₄).

The spelling of 705533367 in words is "seven hundred five million, five hundred thirty-three thousand, three hundred sixty-seven".