1085218137 has 24 divisors (see below), whose sum is σ = 1662355656. Its totient is φ = 679850496.

The previous prime is 1085218129. The next prime is 1085218153. The reversal of 1085218137 is 7318125801.

It can be written as a sum of positive squares in 4 ways, for example, as 798119001 + 287099136 = 28251^2 + 16944^2 .

It is not a de Polignac number, because 1085218137 - 2³ = 1085218129 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1085218157) 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, 98343 + ... + 108819.

It is an arithmetic number, because the mean of its divisors is an integer number (69264819).

Almost surely, 2^1085218137 is an apocalyptic number.

1085218137 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

1085218137 is a deficient number, since it is larger than the sum of its proper divisors (577137519).

1085218137 is a wasteful number, since it uses less digits than its factorization.

1085218137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11177 (or 11174 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 36.

The square root of 1085218137 is about 32942.6492104081. The cubic root of 1085218137 is about 1027.6353007046.

The spelling of 1085218137 in words is "one billion, eighty-five million, two hundred eighteen thousand, one hundred thirty-seven".