1306773 has 40 divisors (see below), whose sum is σ = 2256408. Its totient is φ = 746496.

The previous prime is 1306759. The next prime is 1306777. The reversal of 1306773 is 3776031.

It can be written as a sum of positive squares in 4 ways, for example, as 178929 + 1127844 = 423^2 + 1062^2 .

It is not a de Polignac number, because 1306773 - 2⁴ = 1306757 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1306777) 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 39 ways as a sum of consecutive naturals, for example, 17865 + ... + 17937.

2^1306773 is an apocalyptic number.

1306773 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1306773 is a deficient number, since it is larger than the sum of its proper divisors (949635).

1306773 is a wasteful number, since it uses less digits than its factorization.

1306773 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 2646, while the sum is 27.

The square root of 1306773 is about 1143.1417234971. The cubic root of 1306773 is about 109.3284986543.

It can be divided in two parts, 130 and 6773, that added together give a triangular number (6903 = T₁₁₇).

The spelling of 1306773 in words is "one million, three hundred six thousand, seven hundred seventy-three".