829440001 has 20 divisors (see below), whose sum is σ = 910036692. Its totient is φ = 755908608.

The previous prime is 829439987. The next prime is 829440037. The reversal of 829440001 is 100044928.

It is a Cunningham number, because it is equal to 28800²+1.

It can be written as a sum of positive squares in 10 ways, for example, as 829382401 + 57600 = 28799^2 + 240^2 .

It is not a de Polignac number, because 829440001 - 2¹³ = 829431809 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (829440091) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3227265 + ... + 3227521.

Almost surely, 2^829440001 is an apocalyptic number.

It is an amenable number.

829440001 is a deficient number, since it is larger than the sum of its proper divisors (80596691).

829440001 is an equidigital number, since it uses as much as digits as its factorization.

829440001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 829440001 is about 28800.0000173611. Note that the first 4 decimals coincide. The cubic root of 829440001 is about 939.5682342581.

Adding to 829440001 its reverse (100044928), we get a palindrome (929484929).

The spelling of 829440001 in words is "eight hundred twenty-nine million, four hundred forty thousand, one".