828053361 has 24 divisors (see below), whose sum is σ = 1244478144. Its totient is φ = 550210320.

The previous prime is 828053339. The next prime is 828053363. The reversal of 828053361 is 163350828.

It is not a de Polignac number, because 828053361 - 2⁶ = 828053297 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (828053363) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70095 + ... + 81051.

It is an arithmetic number, because the mean of its divisors is an integer number (51853256).

Almost surely, 2^828053361 is an apocalyptic number.

828053361 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

It is an amenable number.

828053361 is a deficient number, since it is larger than the sum of its proper divisors (416424783).

828053361 is a wasteful number, since it uses less digits than its factorization.

828053361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11283 (or 11271 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 828053361 is about 28775.9163364088. The cubic root of 828053361 is about 939.0443588758.

The spelling of 828053361 in words is "eight hundred twenty-eight million, fifty-three thousand, three hundred sixty-one".