1960205 has 16 divisors (see below), whose sum is σ = 2585520. Its totient is φ = 1417728.

The previous prime is 1960201. The next prime is 1960213. The reversal of 1960205 is 5020691.

1960205 = 80² + 81² + ... + 185².

It can be written as a sum of positive squares in 8 ways, for example, as 212521 + 1747684 = 461^2 + 1322^2 .

It is not a de Polignac number, because 1960205 - 2² = 1960201 is a prime.

It is a d-powerful number, because it can be written as 1 + 9⁴ + 6 + 0 + 2⁹ + 0 + 5⁹ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1960201) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3161 + ... + 3729.

It is an arithmetic number, because the mean of its divisors is an integer number (161595).

2^1960205 is an apocalyptic number.

It is an amenable number.

1960205 is a deficient number, since it is larger than the sum of its proper divisors (625315).

1960205 is a wasteful number, since it uses less digits than its factorization.

1960205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640.

The product of its (nonzero) digits is 540, while the sum is 23.

The square root of 1960205 is about 1400.0732123714. The cubic root of 1960205 is about 125.1508578620.

Adding to 1960205 its reverse (5020691), we get a palindrome (6980896).

It can be divided in two parts, 196020 and 5, that multiplied together give a square (980100 = 990²).

The spelling of 1960205 in words is "one million, nine hundred sixty thousand, two hundred five".