828075141 has 24 divisors (see below), whose sum is σ = 1249834560. Its totient is φ = 527319936.

The previous prime is 828075137. The next prime is 828075161. The reversal of 828075141 is 141570828.

828075141 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 828075141 - 2² = 828075137 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 828075096 and 828075105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (828075121) 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, 175485 + ... + 180141.

It is an arithmetic number, because the mean of its divisors is an integer number (52076440).

Almost surely, 2^828075141 is an apocalyptic number.

It is an amenable number.

828075141 is a deficient number, since it is larger than the sum of its proper divisors (421759419).

828075141 is a wasteful number, since it uses less digits than its factorization.

828075141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5545 (or 5542 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The square root of 828075141 is about 28776.2947753876. The cubic root of 828075141 is about 939.0525919228.

The spelling of 828075141 in words is "eight hundred twenty-eight million, seventy-five thousand, one hundred forty-one".