1965873 has 32 divisors (see below), whose sum is σ = 3404800. Its totient is φ = 979776.

The previous prime is 1965853. The next prime is 1965883. The reversal of 1965873 is 3785691.

It is not a de Polignac number, because 1965873 - 2¹⁰ = 1964849 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Curzon number.

1965873 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (1965853) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4998 + ... + 5376.

It is an arithmetic number, because the mean of its divisors is an integer number (106400).

2^1965873 is an apocalyptic number.

1965873 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1965873 is a deficient number, since it is larger than the sum of its proper divisors (1438927).

1965873 is a wasteful number, since it uses less digits than its factorization.

1965873 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421.

The product of its digits is 45360, while the sum is 39.

The square root of 1965873 is about 1402.0959310974. The cubic root of 1965873 is about 125.2713677832.

The spelling of 1965873 in words is "one million, nine hundred sixty-five thousand, eight hundred seventy-three".