10035312 has 40 divisors (see below), whose sum is σ = 29629056. Its totient is φ = 2867136.

The previous prime is 10035271. The next prime is 10035313. The reversal of 10035312 is 21353001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10035291 and 10035300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10035313) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14598 + ... + 15269.

Almost surely, 2^10035312 is an apocalyptic number.

10035312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10035312 is an abundant number, since it is smaller than the sum of its proper divisors (19593744).

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

10035312 is a wasteful number, since it uses less digits than its factorization.

10035312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29885 (or 29879 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 10035312 is about 3167.8560573359. The cubic root of 10035312 is about 215.6967624194.

Adding to 10035312 its reverse (21353001), we get a palindrome (31388313).

The spelling of 10035312 in words is "ten million, thirty-five thousand, three hundred twelve".