361563 has 8 divisors (see below), whose sum is σ = 485376. Its totient is φ = 239400.

The previous prime is 361561. The next prime is 361577. The reversal of 361563 is 365163.

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

It is not a de Polignac number, because 361563 - 2¹ = 361561 is a prime.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (361561) 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, 258 + ... + 888.

It is an arithmetic number, because the mean of its divisors is an integer number (60672).

2³⁶¹⁵⁶³ is an apocalyptic number.

361563 is a deficient number, since it is larger than the sum of its proper divisors (123813).

361563 is a wasteful number, since it uses less digits than its factorization.

361563 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 825.

The product of its digits is 1620, while the sum is 24.

The square root of 361563 is about 601.3010893055. The cubic root of 361563 is about 71.2406697539.

Subtracting 361563 from its reverse (365163), we obtain a square (3600 = 60²).

The spelling of 361563 in words is "three hundred sixty-one thousand, five hundred sixty-three".