83664837 has 24 divisors (see below), whose sum is σ = 128545560. Its totient is φ = 52254720.

The previous prime is 83664821. The next prime is 83664851. The reversal of 83664837 is 73846638.

It can be written as a sum of positive squares in 4 ways, for example, as 11737476 + 71927361 = 3426^2 + 8481^2 .

It is not a de Polignac number, because 83664837 - 2⁴ = 83664821 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 83664792 and 83664801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83664817) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35739 + ... + 38007.

It is an arithmetic number, because the mean of its divisors is an integer number (5356065).

Almost surely, 2^83664837 is an apocalyptic number.

It is an amenable number.

83664837 is a deficient number, since it is larger than the sum of its proper divisors (44880723).

83664837 is a wasteful number, since it uses less digits than its factorization.

83664837 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2533 (or 2530 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 83664837 is about 9146.8484736547. The cubic root of 83664837 is about 437.3686563006.

It can be divided in two parts, 8366 and 4837, that added together give a triangular number (13203 = T₁₆₂).

The spelling of 83664837 in words is "eighty-three million, six hundred sixty-four thousand, eight hundred thirty-seven".