561312 has 36 divisors (see below), whose sum is σ = 1597050. Its totient is φ = 187008.

The previous prime is 561307. The next prime is 561313. The reversal of 561312 is 213165.

It can be written as a sum of positive squares in only one way, i.e., 404496 + 156816 = 636^2 + 396^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×561312² = 630142322688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (561313) by changing a digit.

561312 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 687 + ... + 1262.

2⁵⁶¹³¹² is an apocalyptic number.

It is an amenable number.

561312 is an abundant number, since it is smaller than the sum of its proper divisors (1035738).

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

561312 is a wasteful number, since it uses less digits than its factorization.

561312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1965 (or 1954 counting only the distinct ones).

The product of its digits is 180, while the sum is 18.

The square root of 561312 is about 749.2075813818. The cubic root of 561312 is about 82.4900263425.

Adding to 561312 its reverse (213165), we get a palindrome (774477).

It can be divided in two parts, 5613 and 12, that added together give a square (5625 = 75²).

The spelling of 561312 in words is "five hundred sixty-one thousand, three hundred twelve".