171661152 has 96 divisors (see below), whose sum is σ = 488049408. Its totient is φ = 52517376.

The previous prime is 171661151. The next prime is 171661183. The reversal of 171661152 is 251166171.

171661152 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×171661152² = 58935102211934208, which contains 22 as substring.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (171661151) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 327963 + ... + 328485.

It is an arithmetic number, because the mean of its divisors is an integer number (5083848).

Almost surely, 2^171661152 is an apocalyptic number.

171661152 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 171661152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244024704).

171661152 is an abundant number, since it is smaller than the sum of its proper divisors (316388256).

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

171661152 is a wasteful number, since it uses less digits than its factorization.

171661152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 812 (or 804 counting only the distinct ones).

The product of its digits is 2520, while the sum is 30.

The square root of 171661152 is about 13101.9522209478. The cubic root of 171661152 is about 555.7643360598.

The spelling of 171661152 in words is "one hundred seventy-one million, six hundred sixty-one thousand, one hundred fifty-two".