207312 has 40 divisors (see below), whose sum is σ = 613056. Its totient is φ = 59136.

The previous prime is 207307. The next prime is 207329. The reversal of 207312 is 213702.

It is a junction number, because it is equal to n+sod(n) for n = 207291 and 207300.

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 207312.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28 + ... + 644.

2²⁰⁷³¹² 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 207312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306528).

207312 is an abundant number, since it is smaller than the sum of its proper divisors (405744).

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

207312 is a wasteful number, since it uses less digits than its factorization.

207312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 635 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 15.

The square root of 207312 is about 455.3152753862. The cubic root of 207312 is about 59.1845223721.

The spelling of 207312 in words is "two hundred seven thousand, three hundred twelve", and thus it is an iban number.