247312 has 40 divisors (see below), whose sum is σ = 546840. Its totient is φ = 107520.

The previous prime is 247309. The next prime is 247337. The reversal of 247312 is 213742.

It can be written as a sum of positive squares in 4 ways, for example, as 1296 + 246016 = 36^2 + 496^2 .

It is a super-2 number, since 2×247312² = 122326450688, which contains 22 as substring.

It is a nialpdrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 247312.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6012 + ... + 6052.

It is an arithmetic number, because the mean of its divisors is an integer number (13671).

2²⁴⁷³¹² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 247312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273420).

247312 is an abundant number, since it is smaller than the sum of its proper divisors (299528).

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

247312 is a wasteful number, since it uses less digits than its factorization.

247312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 85 counting only the distinct ones).

The product of its digits is 336, while the sum is 19.

The square root of 247312 is about 497.3047355495. The cubic root of 247312 is about 62.7694605863.

It can be divided in two parts, 2473 and 12, that added together give a triangular number (2485 = T₇₀).

The spelling of 247312 in words is "two hundred forty-seven thousand, three hundred twelve", and thus it is an iban number.