83666052 has 36 divisors (see below), whose sum is σ = 213873660. Its totient is φ = 27574272.

The previous prime is 83666047. The next prime is 83666053. The reversal of 83666052 is 25066638.

It can be written as a sum of positive squares in 2 ways, for example, as 33454656 + 50211396 = 5784^2 + 7086^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 83665998 and 83666016.

It is not an unprimeable number, because it can be changed into a prime (83666053) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9853 + ... + 16260.

It is an arithmetic number, because the mean of its divisors is an integer number (5940935).

Almost surely, 2^83666052 is an apocalyptic number.

It is an amenable number.

83666052 is an abundant number, since it is smaller than the sum of its proper divisors (130207608).

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

83666052 is a wasteful number, since it uses less digits than its factorization.

83666052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26212 (or 26207 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 83666052 is about 9146.9148897319. The cubic root of 83666052 is about 437.3707734797.

The spelling of 83666052 in words is "eighty-three million, six hundred sixty-six thousand, fifty-two".