561289 has 8 divisors (see below), whose sum is σ = 601128. Its totient is φ = 522240.

The previous prime is 561277. The next prime is 561307. The reversal of 561289 is 982165.

It can be written as a sum of positive squares in 4 ways, for example, as 242064 + 319225 = 492^2 + 565^2 .

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

It is not a de Polignac number, because 561289 - 2⁷ = 561161 is a prime.

It is a Duffinian number.

561289 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 561289.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (561229) 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, 2209 + ... + 2449.

It is an arithmetic number, because the mean of its divisors is an integer number (75141).

2⁵⁶¹²⁸⁹ is an apocalyptic number.

It is an amenable number.

561289 is a deficient number, since it is larger than the sum of its proper divisors (39839).

561289 is a wasteful number, since it uses less digits than its factorization.

561289 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395.

The product of its digits is 4320, while the sum is 31.

The square root of 561289 is about 749.1922316736. The cubic root of 561289 is about 82.4888996391.

The spelling of 561289 in words is "five hundred sixty-one thousand, two hundred eighty-nine".