1085777819 has 20 divisors (see below), whose sum is σ = 1333388040. Its totient is φ = 881647200.

The previous prime is 1085777809. The next prime is 1085777827. The reversal of 1085777819 is 9187775801.

It is a happy number.

It is not a de Polignac number, because 1085777819 - 2¹² = 1085773723 is a prime.

It is a super-2 number, since 2×1085777819² = 2357826944464793522, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1085777809) 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 19 ways as a sum of consecutive naturals, for example, 33719 + ... + 57519.

It is an arithmetic number, because the mean of its divisors is an integer number (66669402).

Almost surely, 2^1085777819 is an apocalyptic number.

1085777819 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

1085777819 is a deficient number, since it is larger than the sum of its proper divisors (247610221).

1085777819 is an frugal number, since it uses more digits than its factorization.

1085777819 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23848 (or 23827 counting only the distinct ones).

The product of its (nonzero) digits is 987840, while the sum is 53.

The square root of 1085777819 is about 32951.1429088583. The cubic root of 1085777819 is about 1027.8119319012.

The spelling of 1085777819 in words is "one billion, eighty-five million, seven hundred seventy-seven thousand, eight hundred nineteen".