1205867 has 16 divisors (see below), whose sum is σ = 1404480. Its totient is φ = 1026432.

The previous prime is 1205843. The next prime is 1205891. The reversal of 1205867 is 7685021.

It is an interprime number because it is at equal distance from previous prime (1205843) and next prime (1205891).

It is a cyclic number.

It is not a de Polignac number, because 1205867 - 2¹⁴ = 1189483 is a prime.

It is a Smith number, since the sum of its digits (29) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is an Ulam number.

It is a Duffinian number.

It is a plaindrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (1205467) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 11009 + ... + 11117.

It is an arithmetic number, because the mean of its divisors is an integer number (87780).

2^1205867 is an apocalyptic number.

1205867 is a deficient number, since it is larger than the sum of its proper divisors (198613).

1205867 is a wasteful number, since it uses less digits than its factorization.

1205867 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182.

The product of its (nonzero) digits is 3360, while the sum is 29.

The square root of 1205867 is about 1098.1197566750. The cubic root of 1205867 is about 106.4387592693.

It can be divided in two parts, 1205 and 867, that multiplied together give a triangular number (1044735 = T₁₄₄₅).

The spelling of 1205867 in words is "one million, two hundred five thousand, eight hundred sixty-seven".