829413 has 32 divisors (see below), whose sum is σ = 1411200. Its totient is φ = 476928.

The previous prime is 829399. The next prime is 829453. The reversal of 829413 is 314928.

It is not a de Polignac number, because 829413 - 2⁶ = 829349 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is a Curzon number.

It is a zygodrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (829453) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5898 + ... + 6036.

It is an arithmetic number, because the mean of its divisors is an integer number (44100).

2⁸²⁹⁴¹³ is an apocalyptic number.

It is an amenable number.

829413 is a deficient number, since it is larger than the sum of its proper divisors (581787).

829413 is a wasteful number, since it uses less digits than its factorization.

829413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 172 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 829413 is about 910.7211428313. The cubic root of 829413 is about 93.9558038802.

It can be divided in two parts, 82941 and 3, that added together give a square (82944 = 288²).

The spelling of 829413 in words is "eight hundred twenty-nine thousand, four hundred thirteen".