612809 has 2 divisors, whose sum is σ = 612810. Its totient is φ = 612808.

The previous prime is 612797. The next prime is 612811. The reversal of 612809 is 908216.

612809 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 313600 + 299209 = 560^2 + 547^2 .

It is a cyclic number.

It is not a de Polignac number, because 612809 - 2⁸ = 612553 is a prime.

It is a super-3 number, since 3×612809³ = 690393445333773387, which contains 333 as substring.

Together with 612811, it forms a pair of twin primes.

It is a Chen prime.

It is an Ulam number.

It is not a weakly prime, because it can be changed into another prime (612869) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 306404 + 306405.

It is an arithmetic number, because the mean of its divisors is an integer number (306405).

2⁶¹²⁸⁰⁹ is an apocalyptic number.

It is an amenable number.

612809 is a deficient number, since it is larger than the sum of its proper divisors (1).

612809 is an equidigital number, since it uses as much as digits as its factorization.

612809 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 864, while the sum is 26.

The square root of 612809 is about 782.8211800916. The cubic root of 612809 is about 84.9392414702.

The spelling of 612809 in words is "six hundred twelve thousand, eight hundred nine".