1305414 has 48 divisors (see below), whose sum is σ = 3257280. Its totient is φ = 373680.

The previous prime is 1305401. The next prime is 1305427. The reversal of 1305414 is 4145031.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1305401) and next prime (1305427).

It is a super-2 number, since 2×1305414² = 3408211422792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3589 + ... + 3935.

It is an arithmetic number, because the mean of its divisors is an integer number (67860).

2^1305414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1305414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1628640).

1305414 is an abundant number, since it is smaller than the sum of its proper divisors (1951866).

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

1305414 is a wasteful number, since it uses less digits than its factorization.

1305414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 1305414 is about 1142.5471543879. The cubic root of 1305414 is about 109.2905861873.

The spelling of 1305414 in words is "one million, three hundred five thousand, four hundred fourteen".