36616125 has 128 divisors (see below), whose sum is σ = 79672320. Its totient is φ = 14515200.

The previous prime is 36616109. The next prime is 36616133. The reversal of 36616125 is 52161663.

It is not a de Polignac number, because 36616125 - 2⁴ = 36616109 is a prime.

It is a super-2 number, since 2×36616125² = 2681481220031250, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 36616092 and 36616101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 989607 + ... + 989643.

It is an arithmetic number, because the mean of its divisors is an integer number (622440).

Almost surely, 2^36616125 is an apocalyptic number.

36616125 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

36616125 is an abundant number, since it is smaller than the sum of its proper divisors (43056195).

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

36616125 is a wasteful number, since it uses less digits than its factorization.

36616125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 94 counting only the distinct ones).

The product of its digits is 6480, while the sum is 30.

The square root of 36616125 is about 6051.1259282881. The cubic root of 36616125 is about 332.0657832825.

Adding to 36616125 its reverse (52161663), we get a palindrome (88777788).

The spelling of 36616125 in words is "thirty-six million, six hundred sixteen thousand, one hundred twenty-five".