81632133 has 24 divisors (see below), whose sum is σ = 128924640. Its totient is φ = 49361760.

The previous prime is 81632099. The next prime is 81632141. The reversal of 81632133 is 33123618.

It is a happy number.

It is not a de Polignac number, because 81632133 - 2¹² = 81628037 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 81632097 and 81632106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81632143) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69610 + ... + 70772.

It is an arithmetic number, because the mean of its divisors is an integer number (5371860).

Almost surely, 2^81632133 is an apocalyptic number.

It is an amenable number.

81632133 is a deficient number, since it is larger than the sum of its proper divisors (47292507).

81632133 is a wasteful number, since it uses less digits than its factorization.

81632133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1889 (or 1886 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 81632133 is about 9035.0502488918. The cubic root of 81632133 is about 433.7975033446.

It can be divided in two parts, 8163 and 2133, that added together give a triangular number (10296 = T₁₄₃).

The spelling of 81632133 in words is "eighty-one million, six hundred thirty-two thousand, one hundred thirty-three".