505971 has 12 divisors (see below), whose sum is σ = 774072. Its totient is φ = 317376.

The previous prime is 505969. The next prime is 505979. The reversal of 505971 is 179505.

It is not a de Polignac number, because 505971 - 2¹ = 505969 is a prime.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (505979) 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, 1501 + ... + 1806.

It is an arithmetic number, because the mean of its divisors is an integer number (64506).

2⁵⁰⁵⁹⁷¹ is an apocalyptic number.

505971 is a gapful number since it is divisible by the number (51) formed by its first and last digit.

505971 is a deficient number, since it is larger than the sum of its proper divisors (268101).

505971 is a wasteful number, since it uses less digits than its factorization.

505971 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3330 (or 3327 counting only the distinct ones).

The product of its (nonzero) digits is 1575, while the sum is 27.

The square root of 505971 is about 711.3163853026. The cubic root of 505971 is about 79.6847489246.

The spelling of 505971 in words is "five hundred five thousand, nine hundred seventy-one".