561249 has 30 divisors (see below), whose sum is σ = 930006. Its totient is φ = 336960.

The previous prime is 561229. The next prime is 561251. The reversal of 561249 is 942165.

561249 is a `hidden beast` number, since 5 + 612 + 49 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 42849 + 518400 = 207^2 + 720^2 .

It is not a de Polignac number, because 561249 - 2⁹ = 560737 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

561249 is a lucky number.

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 29 ways as a sum of consecutive naturals, for example, 13669 + ... + 13709.

2⁵⁶¹²⁴⁹ is an apocalyptic number.

It is an amenable number.

561249 is a deficient number, since it is larger than the sum of its proper divisors (368757).

561249 is a wasteful number, since it uses less digits than its factorization.

561249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 57 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 561249 is about 749.1655357796. The cubic root of 561249 is about 82.4869400815.

The spelling of 561249 in words is "five hundred sixty-one thousand, two hundred forty-nine".