1293306 has 48 divisors (see below), whose sum is σ = 3102624. Its totient is φ = 358176.

The previous prime is 1293287. The next prime is 1293307. The reversal of 1293306 is 6033921.

It is not an unprimeable number, because it can be changed into a prime (1293307) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15541 + ... + 15623.

It is an arithmetic number, because the mean of its divisors is an integer number (64638).

2^1293306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1293306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1551312).

1293306 is an abundant number, since it is smaller than the sum of its proper divisors (1809318).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1293306 is a wasteful number, since it uses less digits than its factorization.

1293306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

The square root of 1293306 is about 1137.2361232391. The cubic root of 1293306 is about 108.9516380580.

The spelling of 1293306 in words is "one million, two hundred ninety-three thousand, three hundred six".