36261225 has 216 divisors, whose sum is σ = 92619072. Its totient is φ = 13305600.

The previous prime is 36261161. The next prime is 36261229. The reversal of 36261225 is 52216263.

36261225 is a `hidden beast` number, since 3 + 626 + 12 + 25 = 666.

It is not a de Polignac number, because 36261225 - 2⁶ = 36261161 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36261229) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1576564 + ... + 1576586.

It is an arithmetic number, because the mean of its divisors is an integer number (428792).

Almost surely, 2^36261225 is an apocalyptic number.

36261225 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

36261225 is an abundant number, since it is smaller than the sum of its proper divisors (56357847).

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

36261225 is a wasteful number, since it uses less digits than its factorization.

36261225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 62 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 36261225 is about 6021.7294027547. The cubic root of 36261225 is about 330.9894545491.

Adding to 36261225 its reverse (52216263), we get a palindrome (88477488).

It can be divided in two parts, 3626 and 1225, that added together give a triangular number (4851 = T₉₈).

The spelling of 36261225 in words is "thirty-six million, two hundred sixty-one thousand, two hundred twenty-five".