1305150 has 96 divisors (see below), whose sum is σ = 4071168. Its totient is φ = 268800.

The previous prime is 1305149. The next prime is 1305151. The reversal of 1305150 is 515031.

It is an interprime number because it is at equal distance from previous prime (1305149) and next prime (1305151).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1305151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11494 + ... + 11606.

It is an arithmetic number, because the mean of its divisors is an integer number (42408).

2^1305150 is an apocalyptic number.

1305150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1305150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2035584).

1305150 is an abundant number, since it is smaller than the sum of its proper divisors (2766018).

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

1305150 is a wasteful number, since it uses less digits than its factorization.

1305150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 75, while the sum is 15.

The square root of 1305150 is about 1142.4316172095. The cubic root of 1305150 is about 109.2832182412.

The spelling of 1305150 in words is "one million, three hundred five thousand, one hundred fifty".