409537 has 4 divisors (see below), whose sum is σ = 410836. Its totient is φ = 408240.

The previous prime is 409529. The next prime is 409543. The reversal of 409537 is 735904.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in 2 ways, for example, as 207936 + 201601 = 456^2 + 449^2 .

It is a cyclic number.

It is not a de Polignac number, because 409537 - 2³ = 409529 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (409517) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 163 + ... + 919.

It is an arithmetic number, because the mean of its divisors is an integer number (102709).

2⁴⁰⁹⁵³⁷ is an apocalyptic number.

It is an amenable number.

409537 is a deficient number, since it is larger than the sum of its proper divisors (1299).

409537 is an equidigital number, since it uses as much as digits as its factorization.

409537 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1298.

The product of its (nonzero) digits is 3780, while the sum is 28.

The square root of 409537 is about 639.9507793573. The cubic root of 409537 is about 74.2616135892.

It can be divided in two parts, 409 and 537, that added together give a triangular number (946 = T₄₃).

The spelling of 409537 in words is "four hundred nine thousand, five hundred thirty-seven".