1007539 has 16 divisors (see below), whose sum is σ = 1185408. Its totient is φ = 847872.

The previous prime is 1007527. The next prime is 1007549. The reversal of 1007539 is 9357001.

It is a 12-Lehmer number, since φ(1007539) divides (1007539-1)¹².

It is a cyclic number.

It is not a de Polignac number, because 1007539 - 2¹⁹ = 483251 is a prime.

It is a Duffinian number.

1007539 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (1007519) 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, 10339 + ... + 10435.

It is an arithmetic number, because the mean of its divisors is an integer number (74088).

2^1007539 is an apocalyptic number.

1007539 is a deficient number, since it is larger than the sum of its proper divisors (177869).

1007539 is a wasteful number, since it uses less digits than its factorization.

1007539 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174.

The product of its (nonzero) digits is 945, while the sum is 25.

The square root of 1007539 is about 1003.7624220900. The cubic root of 1007539 is about 100.2506711149.

The spelling of 1007539 in words is "one million, seven thousand, five hundred thirty-nine".