1059309 has 6 divisors (see below), whose sum is σ = 1530126. Its totient is φ = 706200.

The previous prime is 1059299. The next prime is 1059313. The reversal of 1059309 is 9039501.

It can be written as a sum of positive squares in only one way, i.e., 1010025 + 49284 = 1005^2 + 222^2 .

It is not a de Polignac number, because 1059309 - 2⁴ = 1059293 is a prime.

It is a super-2 number, since 2×1059309² = 2244271114962, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1059349) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 58842 + ... + 58859.

It is an arithmetic number, because the mean of its divisors is an integer number (255021).

2^1059309 is an apocalyptic number.

It is an amenable number.

1059309 is a deficient number, since it is larger than the sum of its proper divisors (470817).

1059309 is a wasteful number, since it uses less digits than its factorization.

1059309 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117707 (or 117704 counting only the distinct ones).

The product of its (nonzero) digits is 1215, while the sum is 27.

The square root of 1059309 is about 1029.2273801255. The cubic root of 1059309 is about 101.9391216884.

It can be divided in two parts, 10 and 59309, that added together give a cube (59319 = 39³).

The spelling of 1059309 in words is "one million, fifty-nine thousand, three hundred nine".