171985950 has 192 divisors, whose sum is σ = 514252800. Its totient is φ = 42134400.

The previous prime is 171985943. The next prime is 171985987. The reversal of 171985950 is 59589171.

171985950 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 171985896 and 171985905.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 900355 + ... + 900545.

It is an arithmetic number, because the mean of its divisors is an integer number (2678400).

Almost surely, 2^171985950 is an apocalyptic number.

171985950 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 171985950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257126400).

171985950 is an abundant number, since it is smaller than the sum of its proper divisors (342266850).

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

171985950 is a wasteful number, since it uses less digits than its factorization.

171985950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 45.

The square root of 171985950 is about 13114.3413864365. The cubic root of 171985950 is about 556.1146335589.

The spelling of 171985950 in words is "one hundred seventy-one million, nine hundred eighty-five thousand, nine hundred fifty".