1305396 has 72 divisors (see below), whose sum is σ = 3669120. Its totient is φ = 404352.

The previous prime is 1305391. The next prime is 1305401. The reversal of 1305396 is 6935031.

It is an interprime number because it is at equal distance from previous prime (1305391) and next prime (1305401).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1305391) 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, 16485 + ... + 16563.

It is an arithmetic number, because the mean of its divisors is an integer number (50960).

2^1305396 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1305396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1834560).

1305396 is an abundant number, since it is smaller than the sum of its proper divisors (2363724).

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

1305396 is a wasteful number, since it uses less digits than its factorization.

1305396 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 27.

The square root of 1305396 is about 1142.5392772242. The cubic root of 1305396 is about 109.2900838589.

The spelling of 1305396 in words is "one million, three hundred five thousand, three hundred ninety-six".