828552249 has 24 divisors (see below), whose sum is σ = 1371935552. Its totient is φ = 472016160.

The previous prime is 828552227. The next prime is 828552269. The reversal of 828552249 is 942255828.

828552249 is a `hidden beast` number, since 8 + 2 + 85 + 522 + 49 = 666.

It is not a de Polignac number, because 828552249 - 2⁷ = 828552121 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (828552269) 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, 987 + ... + 40719.

Almost surely, 2^828552249 is an apocalyptic number.

It is an amenable number.

828552249 is a deficient number, since it is larger than the sum of its proper divisors (543383303).

828552249 is a wasteful number, since it uses less digits than its factorization.

828552249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40077 (or 40074 counting only the distinct ones).

The product of its digits is 460800, while the sum is 45.

The square root of 828552249 is about 28784.5835300773. The cubic root of 828552249 is about 939.2329070750.

The spelling of 828552249 in words is "eight hundred twenty-eight million, five hundred fifty-two thousand, two hundred forty-nine".