1085212161 has 40 divisors (see below), whose sum is σ = 1829520000. Its totient is φ = 635009760.

The previous prime is 1085212159. The next prime is 1085212169. The reversal of 1085212161 is 1612125801.

It is not a de Polignac number, because 1085212161 - 2¹ = 1085212159 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1085212169) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4840 + ... + 46838.

It is an arithmetic number, because the mean of its divisors is an integer number (45738000).

Almost surely, 2^1085212161 is an apocalyptic number.

1085212161 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1085212161 is a deficient number, since it is larger than the sum of its proper divisors (744307839).

1085212161 is a wasteful number, since it uses less digits than its factorization.

1085212161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42051 (or 42042 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 27.

The square root of 1085212161 is about 32942.5585071955. The cubic root of 1085212161 is about 1027.6334143988.

Adding to 1085212161 its reverse (1612125801), we get a palindrome (2697337962).

The spelling of 1085212161 in words is "one billion, eighty-five million, two hundred twelve thousand, one hundred sixty-one".