516948 has 24 divisors (see below), whose sum is σ = 1259328. Its totient is φ = 164736.

The previous prime is 516947. The next prime is 516949. The reversal of 516948 is 849615.

It is an interprime number because it is at equal distance from previous prime (516947) and next prime (516949).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 516948.

It is not an unprimeable number, because it can be changed into a prime (516947) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 661 + ... + 1212.

It is an arithmetic number, because the mean of its divisors is an integer number (52472).

2⁵¹⁶⁹⁴⁸ is an apocalyptic number.

It is an amenable number.

516948 is an abundant number, since it is smaller than the sum of its proper divisors (742380).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

516948 is a wasteful number, since it uses less digits than its factorization.

516948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1903 (or 1901 counting only the distinct ones).

The product of its digits is 8640, while the sum is 33.

The square root of 516948 is about 718.9909596094. The cubic root of 516948 is about 80.2568825921.

The spelling of 516948 in words is "five hundred sixteen thousand, nine hundred forty-eight".