513967 has 8 divisors (see below), whose sum is σ = 547200. Its totient is φ = 481824.

The previous prime is 513943. The next prime is 513977. The reversal of 513967 is 769315.

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

It is a cyclic number.

It is not a de Polignac number, because 513967 - 2⁷ = 513839 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513917) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 834 + ... + 1312.

It is an arithmetic number, because the mean of its divisors is an integer number (68400).

2⁵¹³⁹⁶⁷ is an apocalyptic number.

513967 is a deficient number, since it is larger than the sum of its proper divisors (33233).

513967 is a wasteful number, since it uses less digits than its factorization.

513967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 545.

The product of its digits is 5670, while the sum is 31.

The square root of 513967 is about 716.9149182434. The cubic root of 513967 is about 80.1023170013.

The spelling of 513967 in words is "five hundred thirteen thousand, nine hundred sixty-seven".