1017828903 has 16 divisors (see below), whose sum is σ = 1670283776. Its totient is φ = 536876640.

The previous prime is 1017828901. The next prime is 1017828919. The reversal of 1017828903 is 3098287101.

It is not a de Polignac number, because 1017828903 - 2¹ = 1017828901 is a prime.

It is a super-3 number, since 3×1017828903³ (a number of 28 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1017828901) 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, 1863883 + ... + 1864428.

It is an arithmetic number, because the mean of its divisors is an integer number (104392736).

Almost surely, 2^1017828903 is an apocalyptic number.

1017828903 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

1017828903 is a deficient number, since it is larger than the sum of its proper divisors (652454873).

1017828903 is a wasteful number, since it uses less digits than its factorization.

1017828903 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3728334.

The product of its (nonzero) digits is 24192, while the sum is 39.

The square root of 1017828903 is about 31903.4308970054. The cubic root of 1017828903 is about 1005.9079945290.

It can be divided in two parts, 101782 and 8903, that added together give a triangular number (110685 = T₄₇₀).

The spelling of 1017828903 in words is "one billion, seventeen million, eight hundred twenty-eight thousand, nine hundred three".