171011952 has 80 divisors (see below), whose sum is σ = 492468480. Its totient is φ = 56818368.

The previous prime is 171011947. The next prime is 171011963. The reversal of 171011952 is 259110171.

171011952 is digitally balanced in base 2, 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 (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 216903 + ... + 217689.

It is an arithmetic number, because the mean of its divisors is an integer number (6155856).

Almost surely, 2^171011952 is an apocalyptic number.

171011952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 171011952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246234240).

171011952 is an abundant number, since it is smaller than the sum of its proper divisors (321456528).

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

171011952 is a wasteful number, since it uses less digits than its factorization.

171011952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1307 (or 1295 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 27.

The square root of 171011952 is about 13077.1538187788. The cubic root of 171011952 is about 555.0628416790.

It can be divided in two parts, 1710119 and 52, that added together give a palindrome (1710171).

The spelling of 171011952 in words is "one hundred seventy-one million, eleven thousand, nine hundred fifty-two".