828712507 has 16 divisors (see below), whose sum is σ = 975854592. Its totient is φ = 689028480.

The previous prime is 828712457. The next prime is 828712513. The reversal of 828712507 is 705217828.

828712507 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2^k-828712507 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 828712507.

It is not an unprimeable number, because it can be changed into a prime (828712537) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26032 + ... + 48322.

It is an arithmetic number, because the mean of its divisors is an integer number (60990912).

Almost surely, 2^828712507 is an apocalyptic number.

828712507 is a deficient number, since it is larger than the sum of its proper divisors (147142085).

828712507 is a wasteful number, since it uses less digits than its factorization.

828712507 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22458.

The product of its (nonzero) digits is 62720, while the sum is 40.

The square root of 828712507 is about 28787.3671425506. The cubic root of 828712507 is about 939.2934584299.

The spelling of 828712507 in words is "eight hundred twenty-eight million, seven hundred twelve thousand, five hundred seven".