83666952 has 64 divisors (see below), whose sum is σ = 233856000. Its totient is φ = 27715392.

The previous prime is 83666951. The next prime is 83666959. The reversal of 83666952 is 25966638.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 83666898 and 83666907.

It is not an unprimeable number, because it can be changed into a prime (83666951) 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 15 ways as a sum of consecutive naturals, for example, 36249 + ... + 38487.

It is an arithmetic number, because the mean of its divisors is an integer number (3654000).

Almost surely, 2^83666952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83666952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116928000).

83666952 is an abundant number, since it is smaller than the sum of its proper divisors (150189048).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

83666952 is a wasteful number, since it uses less digits than its factorization.

83666952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2427 (or 2417 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The square root of 83666952 is about 9146.9640865153. The cubic root of 83666952 is about 437.3723417474.

The spelling of 83666952 in words is "eighty-three million, six hundred sixty-six thousand, nine hundred fifty-two".