1036117887 has 72 divisors (see below), whose sum is σ = 1768098960. Its totient is φ = 538024704.

The previous prime is 1036117843. The next prime is 1036117897. The reversal of 1036117887 is 7887116301.

It is not a de Polignac number, because 1036117887 - 2⁷ = 1036117759 is a prime.

It is a super-3 number, since 3×1036117887³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1036117807) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 35728189 + ... + 35728217.

It is an arithmetic number, because the mean of its divisors is an integer number (24556930).

Almost surely, 2^1036117887 is an apocalyptic number.

1036117887 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

1036117887 is a deficient number, since it is larger than the sum of its proper divisors (731981073).

1036117887 is an frugal number, since it uses more digits than its factorization.

1036117887 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 42.

The square root of 1036117887 is about 32188.7851122095. The cubic root of 1036117887 is about 1011.8971911865.

The spelling of 1036117887 in words is "one billion, thirty-six million, one hundred seventeen thousand, eight hundred eighty-seven".