361564 has 24 divisors (see below), whose sum is σ = 744800. Its totient is φ = 150336.

The previous prime is 361561. The next prime is 361577. The reversal of 361564 is 465163.

It is a congruent 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, 862 + ... + 1210.

2³⁶¹⁵⁶⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 361564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372400).

361564 is an abundant number, since it is smaller than the sum of its proper divisors (383236).

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

361564 is a wasteful number, since it uses less digits than its factorization.

361564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397 (or 395 counting only the distinct ones).

The product of its digits is 2160, while the sum is 25.

The square root of 361564 is about 601.3019208351. The cubic root of 361564 is about 71.2407354323.

It can be divided in two parts, 36 and 1564, that added together give a square (1600 = 40²).

The spelling of 361564 in words is "three hundred sixty-one thousand, five hundred sixty-four".