705971 has 4 divisors (see below), whose sum is σ = 806832. Its totient is φ = 605112.

The previous prime is 705967. The next prime is 705973. The reversal of 705971 is 179507.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 179507 = 73 ⋅2459.

It is a cyclic number.

It is not a de Polignac number, because 705971 - 2² = 705967 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (705973) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 50420 + ... + 50433.

It is an arithmetic number, because the mean of its divisors is an integer number (201708).

2⁷⁰⁵⁹⁷¹ is an apocalyptic number.

705971 is a deficient number, since it is larger than the sum of its proper divisors (100861).

705971 is a wasteful number, since it uses less digits than its factorization.

705971 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100860.

The product of its (nonzero) digits is 2205, while the sum is 29.

The square root of 705971 is about 840.2208043128. The cubic root of 705971 is about 89.0421464313.

The spelling of 705971 in words is "seven hundred five thousand, nine hundred seventy-one".