1201305 has 32 divisors (see below), whose sum is σ = 2329344. Its totient is φ = 516096.

The previous prime is 1201283. The next prime is 1201307. The reversal of 1201305 is 5031021.

It is not a de Polignac number, because 1201305 - 2⁶ = 1201241 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1201307) 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, 1449 + ... + 2121.

It is an arithmetic number, because the mean of its divisors is an integer number (72792).

2^1201305 is an apocalyptic number.

1201305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1201305 is a deficient number, since it is larger than the sum of its proper divisors (1128039).

1201305 is a wasteful number, since it uses less digits than its factorization.

1201305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 705.

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 1201305 is about 1096.0406014377. The cubic root of 1201305 is about 106.3043643358.

Adding to 1201305 its reverse (5031021), we get a palindrome (6232326).

The spelling of 1201305 in words is "one million, two hundred one thousand, three hundred five".