171330964 has 48 divisors (see below), whose sum is σ = 371710080. Its totient is φ = 67415040.

The previous prime is 171330959. The next prime is 171330977. The reversal of 171330964 is 469033171.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 15127 + ... + 23905.

It is an arithmetic number, because the mean of its divisors is an integer number (7743960).

Almost surely, 2^171330964 is an apocalyptic number.

171330964 is a gapful number since it is divisible by the number (14) 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 171330964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185855040).

171330964 is an abundant number, since it is smaller than the sum of its proper divisors (200379116).

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

171330964 is a wasteful number, since it uses less digits than its factorization.

171330964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8848 (or 8846 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 34.

The square root of 171330964 is about 13089.3454381799. The cubic root of 171330964 is about 555.4077721820.

The spelling of 171330964 in words is "one hundred seventy-one million, three hundred thirty thousand, nine hundred sixty-four".