83166138 has 48 divisors (see below), whose sum is σ = 197964000. Its totient is φ = 25023840.

The previous prime is 83166131. The next prime is 83166143.

83166138 is a `hidden beast` number, since 8 + 31 + 6 + 613 + 8 = 666.

83166138 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (83166131) 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, 28093 + ... + 30911.

It is an arithmetic number, because the mean of its divisors is an integer number (4124250).

Almost surely, 2^83166138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83166138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98982000).

83166138 is an abundant number, since it is smaller than the sum of its proper divisors (114797862).

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

83166138 is a wasteful number, since it uses less digits than its factorization.

83166138 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2987 (or 2984 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 83166138 is about 9119.5470282246. The cubic root of 83166138 is about 436.4979196336.

The spelling of 83166138 in words is "eighty-three million, one hundred sixty-six thousand, one hundred thirty-eight".