561375 has 24 divisors (see below), whose sum is σ = 1014000. Its totient is φ = 298800.

The previous prime is 561373. The next prime is 561377. The reversal of 561375 is 573165.

561375 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (561373) and next prime (561377).

It is not a de Polignac number, because 561375 - 2¹ = 561373 is a prime.

561375 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (561373) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 876 + ... + 1374.

It is an arithmetic number, because the mean of its divisors is an integer number (42250).

2⁵⁶¹³⁷⁵ is an apocalyptic number.

561375 is the 375-th decagonal number.

561375 is a deficient number, since it is larger than the sum of its proper divisors (452625).

561375 is a wasteful number, since it uses less digits than its factorization.

561375 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520 (or 507 counting only the distinct ones).

The product of its digits is 3150, while the sum is 27.

The square root of 561375 is about 749.2496246245. The cubic root of 561375 is about 82.4931123727.

It can be divided in two parts, 56 and 1375, that added together give a triangular number (1431 = T₅₃).

The spelling of 561375 in words is "five hundred sixty-one thousand, three hundred seventy-five".