1085277667 has 16 divisors (see below), whose sum is σ = 1156055040. Its totient is φ = 1017115200.

The previous prime is 1085277617. The next prime is 1085277689. The reversal of 1085277667 is 7667725801.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 1085277667 - 2¹⁹ = 1084753379 is a prime.

It is a super-2 number, since 2×1085277667² = 2355655228977925778, 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 1085277667.

It is not an unprimeable number, because it can be changed into a prime (1085277617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 173598 + ... + 179740.

It is an arithmetic number, because the mean of its divisors is an integer number (72253440).

Almost surely, 2^1085277667 is an apocalyptic number.

1085277667 is a deficient number, since it is larger than the sum of its proper divisors (70777373).

1085277667 is a wasteful number, since it uses less digits than its factorization.

1085277667 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6354.

The product of its (nonzero) digits is 987840, while the sum is 49.

The square root of 1085277667 is about 32943.5527379789. The cubic root of 1085277667 is about 1027.6540907858.

The spelling of 1085277667 in words is "one billion, eighty-five million, two hundred seventy-seven thousand, six hundred sixty-seven".