829346532 has 48 divisors (see below), whose sum is σ = 2213323392. Its totient is φ = 236770560.

The previous prime is 829346473. The next prime is 829346533. The reversal of 829346532 is 235643928.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (829346533) 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, 132432 + ... + 138552.

It is an arithmetic number, because the mean of its divisors is an integer number (46110904).

Almost surely, 2^829346532 is an apocalyptic number.

It is an amenable number.

829346532 is an abundant number, since it is smaller than the sum of its proper divisors (1383976860).

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

829346532 is a wasteful number, since it uses less digits than its factorization.

829346532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7748 (or 7746 counting only the distinct ones).

The product of its digits is 311040, while the sum is 42.

The square root of 829346532 is about 28798.3772459491. The cubic root of 829346532 is about 939.5329398417.

It can be divided in two parts, 829 and 346532, that added together give a triangular number (347361 = T₈₃₃).

The spelling of 829346532 in words is "eight hundred twenty-nine million, three hundred forty-six thousand, five hundred thirty-two".