1982067165 has 128 divisors (see below), whose sum is σ = 3914588160. Its totient is φ = 957381120.

The previous prime is 1982067163. The next prime is 1982067167. The reversal of 1982067165 is 5617602891.

It is an interprime number because it is at equal distance from previous prime (1982067163) and next prime (1982067167).

It is not a de Polignac number, because 1982067165 - 2¹ = 1982067163 is a prime.

It is a super-2 number, since 2×1982067165² = 7857180493142274450, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 1982067165.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1982067163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10377220 + ... + 10377410.

It is an arithmetic number, because the mean of its divisors is an integer number (30582720).

Almost surely, 2^1982067165 is an apocalyptic number.

1982067165 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1982067165 is a deficient number, since it is larger than the sum of its proper divisors (1932520995).

1982067165 is an equidigital number, since it uses as much as digits as its factorization.

1982067165 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The square root of 1982067165 is about 44520.4129023979. The cubic root of 1982067165 is about 1256.1440792852.

The spelling of 1982067165 in words is "one billion, nine hundred eighty-two million, sixty-seven thousand, one hundred sixty-five".