828627231 has 16 divisors (see below), whose sum is σ = 1112864480. Its totient is φ = 548415360.

The previous prime is 828627229. The next prime is 828627313. The reversal of 828627231 is 132726828.

828627231 = 2049² + 2050² + ... + 2229².

It is not a de Polignac number, because 828627231 - 2¹ = 828627229 is a prime.

It is a super-2 number, since 2×828627231² = 1373246175909454722, which contains 22 as substring.

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 828627231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (828627731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 462285 + ... + 464073.

It is an arithmetic number, because the mean of its divisors is an integer number (69554030).

Almost surely, 2^828627231 is an apocalyptic number.

828627231 is a deficient number, since it is larger than the sum of its proper divisors (284237249).

828627231 is a wasteful number, since it uses less digits than its factorization.

828627231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2826.

The product of its digits is 64512, while the sum is 39.

The square root of 828627231 is about 28785.8859686479. The cubic root of 828627231 is about 939.2612389988.

The spelling of 828627231 in words is "eight hundred twenty-eight million, six hundred twenty-seven thousand, two hundred thirty-one".