216077633 has 24 divisors (see below), whose sum is σ = 244172232. Its totient is φ = 190513152.

The previous prime is 216077629. The next prime is 216077651. The reversal of 216077633 is 336770612.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 135652609 + 80425024 = 11647^2 + 8968^2 .

It is not a de Polignac number, because 216077633 - 2² = 216077629 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 216077593 and 216077602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216077333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 840641 + ... + 840897.

It is an arithmetic number, because the mean of its divisors is an integer number (10173843).

Almost surely, 2^216077633 is an apocalyptic number.

It is an amenable number.

216077633 is a deficient number, since it is larger than the sum of its proper divisors (28094599).

216077633 is a wasteful number, since it uses less digits than its factorization.

216077633 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 35.

The square root of 216077633 is about 14699.5793477228. The cubic root of 216077633 is about 600.0718737973.

The spelling of 216077633 in words is "two hundred sixteen million, seventy-seven thousand, six hundred thirty-three".