852409 has 2 divisors, whose sum is σ = 852410. Its totient is φ = 852408.

The previous prime is 852391. The next prime is 852427. The reversal of 852409 is 904258.

It is a happy number.

It is a balanced prime because it is at equal distance from previous prime (852391) and next prime (852427).

It can be written as a sum of positive squares in only one way, i.e., 714025 + 138384 = 845^2 + 372^2 .

It is a cyclic number.

It is not a de Polignac number, because 852409 - 2¹⁷ = 721337 is a prime.

It is a super-2 number, since 2×852409² = 1453202206562, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (852809) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 426204 + 426205.

It is an arithmetic number, because the mean of its divisors is an integer number (426205).

2⁸⁵²⁴⁰⁹ is an apocalyptic number.

It is an amenable number.

852409 is a deficient number, since it is larger than the sum of its proper divisors (1).

852409 is an equidigital number, since it uses as much as digits as its factorization.

852409 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 852409 is about 923.2599850530. The cubic root of 852409 is about 94.8162282983.

The spelling of 852409 in words is "eight hundred fifty-two thousand, four hundred nine".