• 705 can be written using four 4's:

705 has 8 divisors (see below), whose sum is σ = 1152. Its totient is φ = 368.

The previous prime is 701. The next prime is 709. The reversal of 705 is 507.

It is an interprime number because it is at equal distance from previous prime (701) and next prime (709).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 705 - 2^{2} = 701 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a nialpdrome in base 9 and base 15.

It is not an unprimeable number, because it can be changed into a prime (701) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9 + ... + 38.

It is an arithmetic number, because the mean of its divisors is an integer number (144).

It is a Proth number, since it is equal to 11 ⋅ 2^{6} + 1 and 11 < 2^{6}.

It is an amenable number.

705 is a deficient number, since it is larger than the sum of its proper divisors (447).

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

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

The sum of its prime factors is 55.

The product of its (nonzero) digits is 35, while the sum is 12.

The square root of 705 is about 26.5518360947. The cubic root of 705 is about 8.9001304530.

Adding to 705 its sum of digits (12), we get a palindrome (717).

Multiplying 705 by its reverse (507), we get a triangular number (357435 = T_{845}).

The spelling of 705 in words is "seven hundred five", and thus it is an aban number and an oban number.

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