42017166 has 48 divisors (see below), whose sum is σ = 98016048. Its totient is φ = 12960000.

The previous prime is 42017153. The next prime is 42017191. The reversal of 42017166 is 66171024.

42017166 = 43² + 44² + ... + 501².

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17541 + ... + 19791.

It is an arithmetic number, because the mean of its divisors is an integer number (2042001).

Almost surely, 2^42017166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42017166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49008024).

42017166 is an abundant number, since it is smaller than the sum of its proper divisors (55998882).

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

42017166 is a wasteful number, since it uses less digits than its factorization.

42017166 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2337 (or 2334 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 42017166 is about 6482.0649487644. The cubic root of 42017166 is about 347.6500147632.

The spelling of 42017166 in words is "forty-two million, seventeen thousand, one hundred sixty-six".