827145100 has 36 divisors (see below), whose sum is σ = 1852811968. Its totient is φ = 320184000.

The previous prime is 827145071. The next prime is 827145127. The reversal of 827145100 is 1541728.

827145100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 130311 + ... + 136510.

Almost surely, 2^827145100 is an apocalyptic number.

It is an amenable number.

827145100 is an abundant number, since it is smaller than the sum of its proper divisors (1025666868).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

827145100 is a wasteful number, since it uses less digits than its factorization.

827145100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266866 (or 266859 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 28.

The square root of 827145100 is about 28760.1303891342. The cubic root of 827145100 is about 938.7008989669.

Adding to 827145100 its reverse (1541728), we get a palindrome (828686828).

The spelling of 827145100 in words is "eight hundred twenty-seven million, one hundred forty-five thousand, one hundred".