509634 has 24 divisors (see below), whose sum is σ = 1153152. Its totient is φ = 162360.

The previous prime is 509633. The next prime is 509647. The reversal of 509634 is 436905.

It is a happy number.

It is an alternating number because its digits alternate between odd and even.

It is a junction number, because it is equal to n+sod(n) for n = 509598 and 509607.

It is not an unprimeable number, because it can be changed into a prime (509633) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 202 + ... + 1029.

It is an arithmetic number, because the mean of its divisors is an integer number (48048).

2⁵⁰⁹⁶³⁴ is an apocalyptic number.

509634 is an abundant number, since it is smaller than the sum of its proper divisors (643518).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

509634 is a wasteful number, since it uses less digits than its factorization.

509634 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1262 (or 1259 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 509634 is about 713.8865456079. The cubic root of 509634 is about 79.8765805267.

The spelling of 509634 in words is "five hundred nine thousand, six hundred thirty-four".