1006305 has 16 divisors (see below), whose sum is σ = 1633920. Its totient is φ = 528768.

The previous prime is 1006303. The next prime is 1006307. The reversal of 1006305 is 5036001.

1006305 = 58² + 59² + ... + 147².

It is an interprime number because it is at equal distance from previous prime (1006303) and next prime (1006307).

It is not a de Polignac number, because 1006305 - 2¹ = 1006303 is a prime.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1006301) 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, 636 + ... + 1554.

It is an arithmetic number, because the mean of its divisors is an integer number (102120).

2^1006305 is an apocalyptic number.

1006305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1006305 is a deficient number, since it is larger than the sum of its proper divisors (627615).

1006305 is an equidigital number, since it uses as much as digits as its factorization.

1006305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1000.

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 1006305 is about 1003.1475464756. The cubic root of 1006305 is about 100.2097265071.

The spelling of 1006305 in words is "one million, six thousand, three hundred five".