171920952 has 96 divisors (see below), whose sum is σ = 555310080. Its totient is φ = 46981440.

The previous prime is 171920939. The next prime is 171920953. The reversal of 171920952 is 259029171.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (171920953) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4177 + ... + 19007.

It is an arithmetic number, because the mean of its divisors is an integer number (5784480).

Almost surely, 2^171920952 is an apocalyptic number.

171920952 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 171920952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277655040).

171920952 is an abundant number, since it is smaller than the sum of its proper divisors (383389128).

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

171920952 is a wasteful number, since it uses less digits than its factorization.

171920952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14873 (or 14866 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

The square root of 171920952 is about 13111.8630255201. The cubic root of 171920952 is about 556.0445679644.

The spelling of 171920952 in words is "one hundred seventy-one million, nine hundred twenty thousand, nine hundred fifty-two".