63636121 has 8 divisors (see below), whose sum is σ = 66011400. Its totient is φ = 61272960.

The previous prime is 63636107. The next prime is 63636127. The reversal of 63636121 is 12163636.

63636121 is a nontrivial binomial coefficient, being equal to C(11282, 2).

It can be written as a sum of positive squares in 4 ways, for example, as 20602521 + 43033600 = 4539^2 + 6560^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 63636121 - 2⁹ = 63635609 is a prime.

It is an alternating number because its digits alternate between even and odd.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 63636121.

It is not an unprimeable number, because it can be changed into a prime (63636127) 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, 8461 + ... + 14101.

It is an arithmetic number, because the mean of its divisors is an integer number (8251425).

Almost surely, 2^63636121 is an apocalyptic number.

63636121 is the 11281-st triangular number and also the 5641-st hexagonal number.

63636121 is the 3761-st centered nonagonal number.

It is an amenable number.

63636121 is a deficient number, since it is larger than the sum of its proper divisors (2375279).

63636121 is a wasteful number, since it uses less digits than its factorization.

63636121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6059.

The product of its digits is 3888, while the sum is 28.

The square root of 63636121 is about 7977.2251441212. The cubic root of 63636121 is about 399.2404774767.

Adding to 63636121 its reverse (12163636), we get a palindrome (75799757).

The spelling of 63636121 in words is "sixty-three million, six hundred thirty-six thousand, one hundred twenty-one".