828040951 has 8 divisors (see below), whose sum is σ = 838946304. Its totient is φ = 817157880.

The previous prime is 828040937. The next prime is 828040991. The reversal of 828040951 is 159040828.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 828040951 - 2¹⁹ = 827516663 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 828040951.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (828040991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 77220 + ... + 87286.

It is an arithmetic number, because the mean of its divisors is an integer number (104868288).

Almost surely, 2^828040951 is an apocalyptic number.

828040951 is a deficient number, since it is larger than the sum of its proper divisors (10905353).

828040951 is a wasteful number, since it uses less digits than its factorization.

828040951 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11141.

The product of its (nonzero) digits is 23040, while the sum is 37.

The square root of 828040951 is about 28775.7007038925. The cubic root of 828040951 is about 939.0396677132.

The spelling of 828040951 in words is "eight hundred twenty-eight million, forty thousand, nine hundred fifty-one".