829345 has 16 divisors (see below), whose sum is σ = 1150848. Its totient is φ = 567040.

The previous prime is 829319. The next prime is 829349. The reversal of 829345 is 543928.

829345 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 829345 - 2⁹ = 828833 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (829349) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 492 + ... + 1378.

It is an arithmetic number, because the mean of its divisors is an integer number (71928).

2⁸²⁹³⁴⁵ is an apocalyptic number.

829345 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

829345 is a deficient number, since it is larger than the sum of its proper divisors (321503).

829345 is a wasteful number, since it uses less digits than its factorization.

829345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 920.

The product of its digits is 8640, while the sum is 31.

The square root of 829345 is about 910.6838090139. The cubic root of 829345 is about 93.9532361328.

It can be divided in two parts, 8293 and 45, that added together give a palindrome (8338).

The spelling of 829345 in words is "eight hundred twenty-nine thousand, three hundred forty-five".