561759 has 16 divisors (see below), whose sum is σ = 846720. Its totient is φ = 328160.

The previous prime is 561733. The next prime is 561761. The reversal of 561759 is 957165.

561759 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 561759 - 2¹² = 557663 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

Its product of digits (9450) is a multiple of the sum of its prime divisors (630).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (561059) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 664 + ... + 1250.

It is an arithmetic number, because the mean of its divisors is an integer number (52920).

2⁵⁶¹⁷⁵⁹ is an apocalyptic number.

561759 is a deficient number, since it is larger than the sum of its proper divisors (284961).

561759 is a wasteful number, since it uses less digits than its factorization.

561759 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 630.

The product of its digits is 9450, while the sum is 33.

The square root of 561759 is about 749.5058372021. The cubic root of 561759 is about 82.5119174703.

The spelling of 561759 in words is "five hundred sixty-one thousand, seven hundred fifty-nine".