506397 has 8 divisors (see below), whose sum is σ = 686880. Its totient is φ = 331760.

The previous prime is 506393. The next prime is 506417. The reversal of 506397 is 793605.

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 506397 - 2² = 506393 is a prime.

506397 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506393) 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, 1254 + ... + 1607.

It is an arithmetic number, because the mean of its divisors is an integer number (85860).

2⁵⁰⁶³⁹⁷ is an apocalyptic number.

It is an amenable number.

506397 is a deficient number, since it is larger than the sum of its proper divisors (180483).

506397 is a wasteful number, since it uses less digits than its factorization.

506397 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2923.

The product of its (nonzero) digits is 5670, while the sum is 30.

The square root of 506397 is about 711.6157671103. The cubic root of 506397 is about 79.7071060562.

It can be divided in two parts, 506 and 397, that added together give a triangular number (903 = T₄₂).

The spelling of 506397 in words is "five hundred six thousand, three hundred ninety-seven".