36225 has 36 divisors (see below), whose sum is σ = 77376. Its totient is φ = 15840.

The previous prime is 36217. The next prime is 36229. The reversal of 36225 is 52263.

36225 is nontrivially palindromic in base 8.

It is not a de Polignac number, because 36225 - 2³ = 36217 is a prime.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 36198 and 36207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36229) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1564 + ... + 1586.

2³⁶²²⁵ is an apocalyptic number.

36225 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

36225 is an abundant number, since it is smaller than the sum of its proper divisors (41151).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38688).

36225 is a wasteful number, since it uses less digits than its factorization.

36225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46 (or 38 counting only the distinct ones).

The product of its digits is 360, while the sum is 18.

The square root of 36225 is about 190.3286631067. The cubic root of 36225 is about 33.0879198227.

Adding to 36225 its product of digits (360), we get a triangular number (36585 = T₂₇₀).

Adding to 36225 its reverse (52263), we get a palindrome (88488).

It can be divided in two parts, 36 and 225, that multiplied together give a square (8100 = 90²).

The spelling of 36225 in words is "thirty-six thousand, two hundred twenty-five".