83057166 has 24 divisors (see below), whose sum is σ = 184143960. Its totient is φ = 27041616.

The previous prime is 83057159. The next prime is 83057167. The reversal of 83057166 is 66175038.

83057166 is a `hidden beast` number, since 83 + 0 + 571 + 6 + 6 = 666.

It is a super-4 number, since 4×83057166⁴ (a number of 33 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 83057166.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83057167) 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, 52881 + ... + 54428.

It is an arithmetic number, because the mean of its divisors is an integer number (7672665).

Almost surely, 2^83057166 is an apocalyptic number.

83057166 is a gapful number since it is divisible by the number (86) formed by its first and last digit.

83057166 is an abundant number, since it is smaller than the sum of its proper divisors (101086794).

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

83057166 is a wasteful number, since it uses less digits than its factorization.

83057166 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107360 (or 107357 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 83057166 is about 9113.5704309562. The cubic root of 83057166 is about 436.3071895972.

The spelling of 83057166 in words is "eighty-three million, fifty-seven thousand, one hundred sixty-six".