1967985 has 24 divisors (see below), whose sum is σ = 3452904. Its totient is φ = 1036800.

The previous prime is 1967947. The next prime is 1968017. The reversal of 1967985 is 5897691.

It can be written as a sum of positive squares in 4 ways, for example, as 288369 + 1679616 = 537^2 + 1296^2 .

It is not a de Polignac number, because 1967985 - 2⁸ = 1967729 is a prime.

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 1967985.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 4329 + ... + 4761.

It is an arithmetic number, because the mean of its divisors is an integer number (143871).

2^1967985 is an apocalyptic number.

1967985 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1967985 is a deficient number, since it is larger than the sum of its proper divisors (1484919).

1967985 is a wasteful number, since it uses less digits than its factorization.

1967985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 545 (or 542 counting only the distinct ones).

The product of its digits is 136080, while the sum is 45.

The square root of 1967985 is about 1402.8488870866. The cubic root of 1967985 is about 125.3162127349.

The spelling of 1967985 in words is "one million, nine hundred sixty-seven thousand, nine hundred eighty-five".