1305381 has 16 divisors (see below), whose sum is σ = 2170368. Its totient is φ = 678000.

The previous prime is 1305373. The next prime is 1305383. The reversal of 1305381 is 1835031.

It is a happy number.

It is not a de Polignac number, because 1305381 - 2³ = 1305373 is a prime.

It is a super-2 number, since 2×1305381² = 3408039110322, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

1305381 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1305383) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2595 + ... + 3056.

It is an arithmetic number, because the mean of its divisors is an integer number (135648).

2^1305381 is an apocalyptic number.

1305381 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1305381 is a deficient number, since it is larger than the sum of its proper divisors (864987).

1305381 is a wasteful number, since it uses less digits than its factorization.

1305381 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5672.

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 1305381 is about 1142.5327128796. The cubic root of 1305381 is about 109.2896652484.

The spelling of 1305381 in words is "one million, three hundred five thousand, three hundred eighty-one".