513834 has 8 divisors (see below), whose sum is σ = 1027680. Its totient is φ = 171276.

The previous prime is 513829. The next prime is 513839. The reversal of 513834 is 438315.

It is an interprime number because it is at equal distance from previous prime (513829) and next prime (513839).

It is a sphenic number, since it is the product of 3 distinct primes.

513834 is an admirable number.

It is a super-3 number, since 3×513834³ = 406995650636333112, which contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (513839) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 42814 + ... + 42825.

It is an arithmetic number, because the mean of its divisors is an integer number (128460).

2⁵¹³⁸³⁴ is an apocalyptic number.

513834 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

513834 is a wasteful number, since it uses less digits than its factorization.

513834 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85644.

The product of its digits is 1440, while the sum is 24.

The square root of 513834 is about 716.8221536755. The cubic root of 513834 is about 80.0954070069.

The spelling of 513834 in words is "five hundred thirteen thousand, eight hundred thirty-four".