36808101 has 40 divisors (see below), whose sum is σ = 60693600. Its totient is φ = 22044960.

The previous prime is 36808099. The next prime is 36808117. The reversal of 36808101 is 10180863.

It is not a de Polignac number, because 36808101 - 2¹ = 36808099 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36808141) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 96930 + ... + 97308.

It is an arithmetic number, because the mean of its divisors is an integer number (1517340).

Almost surely, 2^36808101 is an apocalyptic number.

It is an amenable number.

36808101 is a deficient number, since it is larger than the sum of its proper divisors (23885499).

36808101 is a wasteful number, since it uses less digits than its factorization.

36808101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 511 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 36808101 is about 6066.9680236507. The cubic root of 36808101 is about 332.6451052264.

Adding to 36808101 its reverse (10180863), we get a palindrome (46988964).

It can be divided in two parts, 3680 and 8101, that added together give a triangular number (11781 = T₁₅₃).

The spelling of 36808101 in words is "thirty-six million, eight hundred eight thousand, one hundred one".