506377 has 4 divisors (see below), whose sum is σ = 510160. Its totient is φ = 502596.

The previous prime is 506357. The next prime is 506381. The reversal of 506377 is 773605.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-506377 is a prime.

It is a super-2 number, since 2×506377² = 512835332258, which contains 22 as substring.

It is a Duffinian number.

506377 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (506327) 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, 1683 + ... + 1960.

It is an arithmetic number, because the mean of its divisors is an integer number (127540).

2⁵⁰⁶³⁷⁷ is an apocalyptic number.

It is an amenable number.

506377 is a deficient number, since it is larger than the sum of its proper divisors (3783).

506377 is a wasteful number, since it uses less digits than its factorization.

506377 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3782.

The product of its (nonzero) digits is 4410, while the sum is 28.

The square root of 506377 is about 711.6017144443. The cubic root of 506377 is about 79.7060567062.

The spelling of 506377 in words is "five hundred six thousand, three hundred seventy-seven".