828914125 has 16 divisors (see below), whose sum is σ = 1114062768. Its totient is φ = 612120000.

The previous prime is 828914113. The next prime is 828914131. The reversal of 828914125 is 521419828.

828914125 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 620458281 + 208455844 = 24909^2 + 14438^2 .

It is not a de Polignac number, because 828914125 - 2¹⁵ = 828881357 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 253426 + ... + 256675.

It is an arithmetic number, because the mean of its divisors is an integer number (69628923).

Almost surely, 2^828914125 is an apocalyptic number.

It is an amenable number.

828914125 is a deficient number, since it is larger than the sum of its proper divisors (285148643).

828914125 is a wasteful number, since it uses less digits than its factorization.

828914125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510129 (or 510119 counting only the distinct ones).

The product of its digits is 46080, while the sum is 40.

The square root of 828914125 is about 28790.8687781387. The cubic root of 828914125 is about 939.3696260236.

The spelling of 828914125 in words is "eight hundred twenty-eight million, nine hundred fourteen thousand, one hundred twenty-five".