35682832201 has 27 divisors (see below), whose sum is σ = 38390359917. Its totient is φ = 33163108440.

The previous prime is 35682832189. The next prime is 35682832217. The reversal of 35682832201 is 10223828653.

The square root of 35682832201 is 188899.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 35682832201 - 2¹⁵ = 35682799433 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (35682832231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 186821016 + ... + 186821206.

Almost surely, 2^35682832201 is an apocalyptic number.

35682832201 is the 188899-th square number.

35682832201 is the 94450-th centered octagonal number.

It is an amenable number.

35682832201 is a deficient number, since it is larger than the sum of its proper divisors (2707527716).

35682832201 is an frugal number, since it uses more digits than its factorization.

35682832201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 40.

The spelling of 35682832201 in words is "thirty-five billion, six hundred eighty-two million, eight hundred thirty-two thousand, two hundred one".