170849952 has 384 divisors, whose sum is σ = 640120320. Its totient is φ = 43130880.

The previous prime is 170849947. The next prime is 170849971. The reversal of 170849952 is 259948071.

170849952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×170849952⁴ (a number of 34 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 170849898 and 170849907.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3223558 + ... + 3223610.

It is an arithmetic number, because the mean of its divisors is an integer number (1666980).

Almost surely, 2^170849952 is an apocalyptic number.

170849952 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 170849952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320060160).

170849952 is an abundant number, since it is smaller than the sum of its proper divisors (469270368).

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

170849952 is a wasteful number, since it uses less digits than its factorization.

170849952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The square root of 170849952 is about 13070.9583428301. The cubic root of 170849952 is about 554.8875155530.

The spelling of 170849952 in words is "one hundred seventy million, eight hundred forty-nine thousand, nine hundred fifty-two".