534209 has 12 divisors (see below), whose sum is σ = 603900. Its totient is φ = 471744.

The previous prime is 534203. The next prime is 534211. The reversal of 534209 is 902435.

534209 = 66² + 67² + ... + 123².

It can be written as a sum of positive squares in 6 ways, for example, as 40000 + 494209 = 200^2 + 703^2 .

It is a de Polignac number, because none of the positive numbers 2^k-534209 is a prime.

It is an Ulam number.

It is a d-powerful number, because it can be written as 5 + 3⁷ + 2⁹ + 4³ + 0 + 9⁶ .

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (534203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4847 + ... + 4955.

It is an arithmetic number, because the mean of its divisors is an integer number (50325).

2⁵³⁴²⁰⁹ is an apocalyptic number.

It is an amenable number.

534209 is a deficient number, since it is larger than the sum of its proper divisors (69691).

534209 is a wasteful number, since it uses less digits than its factorization.

534209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 23.

The square root of 534209 is about 730.8960254373. The cubic root of 534209 is about 81.1403855188.

The spelling of 534209 in words is "five hundred thirty-four thousand, two hundred nine".