1075305 has 64 divisors (see below), whose sum is σ = 2304000. Its totient is φ = 423360.

The previous prime is 1075303. The next prime is 1075337. The reversal of 1075305 is 5035701.

It is a happy number.

It is not a de Polignac number, because 1075305 - 2¹ = 1075303 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1075303) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 56586 + ... + 56604.

It is an arithmetic number, because the mean of its divisors is an integer number (36000).

2^1075305 is an apocalyptic number.

1075305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1075305 is an abundant number, since it is smaller than the sum of its proper divisors (1228695).

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

1075305 is a wasteful number, since it uses less digits than its factorization.

1075305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 525, while the sum is 21.

The square root of 1075305 is about 1036.9691412959. The cubic root of 1075305 is about 102.4496679320.

The spelling of 1075305 in words is "one million, seventy-five thousand, three hundred five".