829152 has 36 divisors (see below), whose sum is σ = 2358720. Its totient is φ = 276288.

The previous prime is 829151. The next prime is 829159. The reversal of 829152 is 251928.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (829151) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1152 + ... + 1727.

It is an arithmetic number, because the mean of its divisors is an integer number (65520).

2⁸²⁹¹⁵² is an apocalyptic number.

It is an amenable number.

829152 is an abundant number, since it is smaller than the sum of its proper divisors (1529568).

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

829152 is a wasteful number, since it uses less digits than its factorization.

829152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2895 (or 2884 counting only the distinct ones).

The product of its digits is 1440, while the sum is 27.

The square root of 829152 is about 910.5778385179. The cubic root of 829152 is about 93.9459474968.

The spelling of 829152 in words is "eight hundred twenty-nine thousand, one hundred fifty-two".