10312 has 8 divisors (see below), whose sum is σ = 19350. Its totient is φ = 5152.

The previous prime is 10303. The next prime is 10313. The reversal of 10312 is 21301.

It can be written as a sum of positive squares in only one way, i.e., 7396 + 2916 = 86^2 + 54^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a junction number, because it is equal to n+sod(n) for n = 10295 and 10304.

It is not an unprimeable number, because it can be changed into a prime (10313) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 637 + ... + 652.

2¹⁰³¹² is an apocalyptic number.

It is an amenable number.

10312 is a deficient number, since it is larger than the sum of its proper divisors (9038).

10312 is a wasteful number, since it uses less digits than its factorization.

10312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1295 (or 1291 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 7.

The square root of 10312 is about 101.5480181983. The cubic root of 10312 is about 21.7661174409.

Adding to 10312 its reverse (21301), we get a palindrome (31613).

The spelling of 10312 in words is "ten thousand, three hundred twelve", and thus it is an iban number.