829272 has 32 divisors (see below), whose sum is σ = 2098800. Its totient is φ = 273024.

The previous prime is 829267. The next prime is 829273. The reversal of 829272 is 272928.

829272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a d-powerful number, because it can be written as 8³ + 2⁴ + 2¹⁰ + 9² + 7⁷ + 2¹² .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (829273) by changing a digit.

829272 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2458 + ... + 2774.

2⁸²⁹²⁷² is an apocalyptic number.

It is an amenable number.

829272 is an abundant number, since it is smaller than the sum of its proper divisors (1269528).

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

829272 is a wasteful number, since it uses less digits than its factorization.

829272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435 (or 431 counting only the distinct ones).

The product of its digits is 4032, while the sum is 30.

The square root of 829272 is about 910.6437283592. The cubic root of 829272 is about 93.9504794242.

The spelling of 829272 in words is "eight hundred twenty-nine thousand, two hundred seventy-two".