1305007 has 16 divisors (see below), whose sum is σ = 1520640. Its totient is φ = 1108800.

The previous prime is 1304987. The next prime is 1305011. The reversal of 1305007 is 7005031.

It is not a de Polignac number, because 1305007 - 2¹⁹ = 780719 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1305047) 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, 14619 + ... + 14707.

It is an arithmetic number, because the mean of its divisors is an integer number (95040).

2^1305007 is an apocalyptic number.

1305007 is a deficient number, since it is larger than the sum of its proper divisors (215633).

1305007 is a wasteful number, since it uses less digits than its factorization.

1305007 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174.

The product of its (nonzero) digits is 105, while the sum is 16.

The square root of 1305007 is about 1142.3690296922. The cubic root of 1305007 is about 109.2792268555.

Multiplying 1305007 by its product of nonzero digits (105), we get a triangular number (137025735 = T₁₆₅₅₄).

The spelling of 1305007 in words is "one million, three hundred five thousand, seven".