507871 has 8 divisors (see below), whose sum is σ = 625184. Its totient is φ = 401760.

The previous prime is 507839. The next prime is 507883. The reversal of 507871 is 178705.

507871 = T₂₇₃ + T₂₇₄ + ... + T₂₈₅.

It is a happy number.

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 507871 - 2⁵ = 507839 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (507821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2700 + ... + 2881.

It is an arithmetic number, because the mean of its divisors is an integer number (78148).

2⁵⁰⁷⁸⁷¹ is an apocalyptic number.

507871 is a deficient number, since it is larger than the sum of its proper divisors (117313).

507871 is a wasteful number, since it uses less digits than its factorization.

507871 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5601.

The product of its (nonzero) digits is 1960, while the sum is 28.

The square root of 507871 is about 712.6506858202. The cubic root of 507871 is about 79.7843672202.

It can be divided in two parts, 507 and 871, that added together give a triangular number (1378 = T₅₂).

The spelling of 507871 in words is "five hundred seven thousand, eight hundred seventy-one".