307712 has 20 divisors (see below), whose sum is σ = 615846. Its totient is φ = 153600.

The previous prime is 307711. The next prime is 307733. The reversal of 307712 is 217703.

It can be written as a sum of positive squares in only one way, i.e., 215296 + 92416 = 464^2 + 304^2 .

It is not an unprimeable number, because it can be changed into a prime (307711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 212 + ... + 812.

2³⁰⁷⁷¹² is an apocalyptic number.

307712 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 307712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307923).

307712 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

307712 is an frugal number, since it uses more digits than its factorization.

307712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 619 (or 603 counting only the distinct ones).

The product of its (nonzero) digits is 294, while the sum is 20.

The square root of 307712 is about 554.7179463475. The cubic root of 307712 is about 67.5120783141.

Subtracting from 307712 its reverse (217703), we obtain a palindrome (90009).

The spelling of 307712 in words is "three hundred seven thousand, seven hundred twelve", and thus it is an iban number.