171165090 has 64 divisors (see below), whose sum is σ = 423916416. Its totient is φ = 44209152.

The previous prime is 171165089. The next prime is 171165109. The reversal of 171165090 is 90561171.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 131322 + ... + 132618.

It is an arithmetic number, because the mean of its divisors is an integer number (6623694).

Almost surely, 2^171165090 is an apocalyptic number.

171165090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 171165090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211958208).

171165090 is an abundant number, since it is smaller than the sum of its proper divisors (252751326).

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

171165090 is a wasteful number, since it uses less digits than its factorization.

171165090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1443.

The product of its (nonzero) digits is 1890, while the sum is 30.

The square root of 171165090 is about 13083.0076817221. The cubic root of 171165090 is about 555.2284750412.

The spelling of 171165090 in words is "one hundred seventy-one million, one hundred sixty-five thousand, ninety".