705957 has 8 divisors (see below), whose sum is σ = 1075776. Its totient is φ = 403392.

The previous prime is 705949. The next prime is 705967. The reversal of 705957 is 759507.

705957 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not a de Polignac number, because 705957 - 2³ = 705949 is a prime.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 705957.

It is not an unprimeable number, because it can be changed into a prime (705937) 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, 16788 + ... + 16829.

It is an arithmetic number, because the mean of its divisors is an integer number (134472).

2⁷⁰⁵⁹⁵⁷ is an apocalyptic number.

It is an amenable number.

705957 is a deficient number, since it is larger than the sum of its proper divisors (369819).

705957 is a wasteful number, since it uses less digits than its factorization.

705957 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33627.

The product of its (nonzero) digits is 11025, while the sum is 33.

The square root of 705957 is about 840.2124731281. The cubic root of 705957 is about 89.0415578338.

The spelling of 705957 in words is "seven hundred five thousand, nine hundred fifty-seven".