828148101 has 16 divisors (see below), whose sum is σ = 1215635520. Its totient is φ = 497301120.

The previous prime is 828148039. The next prime is 828148133. The reversal of 828148101 is 101841828.

It is not a de Polignac number, because 828148101 - 2¹⁵ = 828115333 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (828148151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111520 + ... + 118713.

It is an arithmetic number, because the mean of its divisors is an integer number (75977220).

Almost surely, 2^828148101 is an apocalyptic number.

It is an amenable number.

828148101 is a deficient number, since it is larger than the sum of its proper divisors (387487419).

828148101 is a wasteful number, since it uses less digits than its factorization.

828148101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230356.

The product of its (nonzero) digits is 4096, while the sum is 33.

The square root of 828148101 is about 28777.5624575814. The cubic root of 828148101 is about 939.0801704446.

Adding to 828148101 its reverse (101841828), we get a palindrome (929989929).

The spelling of 828148101 in words is "eight hundred twenty-eight million, one hundred forty-eight thousand, one hundred one".