705948 has 24 divisors (see below), whose sum is σ = 1668240. Its totient is φ = 232320.

The previous prime is 705937. The next prime is 705949. The reversal of 705948 is 849507.

705948 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 705948.

It is not an unprimeable number, because it can be changed into a prime (705949) by changing a digit.

705948 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 738 + ... + 1398.

It is an arithmetic number, because the mean of its divisors is an integer number (69510).

2⁷⁰⁵⁹⁴⁸ is an apocalyptic number.

It is an amenable number.

705948 is an abundant number, since it is smaller than the sum of its proper divisors (962292).

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

705948 is a wasteful number, since it uses less digits than its factorization.

705948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 757 (or 755 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 705948 is about 840.2071173229. The cubic root of 705948 is about 89.0411794456.

It can be divided in two parts, 705 and 948, that added together give a triangular number (1653 = T₅₇).

The spelling of 705948 in words is "seven hundred five thousand, nine hundred forty-eight".