505377 has 12 divisors (see below), whose sum is σ = 736164. Its totient is φ = 334080.

The previous prime is 505369. The next prime is 505399. The reversal of 505377 is 773505.

It can be written as a sum of positive squares in 2 ways, for example, as 239121 + 266256 = 489^2 + 516^2 .

It is not a de Polignac number, because 505377 - 2³ = 505369 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 505377.

It is not an unprimeable number, because it can be changed into a prime (505327) 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, 1977 + ... + 2217.

It is an arithmetic number, because the mean of its divisors is an integer number (61347).

2⁵⁰⁵³⁷⁷ is an apocalyptic number.

It is an amenable number.

505377 is a deficient number, since it is larger than the sum of its proper divisors (230787).

505377 is a wasteful number, since it uses less digits than its factorization.

505377 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 3675, while the sum is 27.

The square root of 505377 is about 710.8987269647. The cubic root of 505377 is about 79.6535539381.

The spelling of 505377 in words is "five hundred five thousand, three hundred seventy-seven".