10335312 has 60 divisors (see below), whose sum is σ = 31155124. Its totient is φ = 3179520.

The previous prime is 10335301. The next prime is 10335313. The reversal of 10335312 is 21353301.

It can be written as a sum of positive squares in 2 ways, for example, as 2178576 + 8156736 = 1476^2 + 2856^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10335313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 889 + ... + 4632.

Almost surely, 2^10335312 is an apocalyptic number.

10335312 is a gapful number since it is divisible by the number (12) 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 10335312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15577562).

10335312 is an abundant number, since it is smaller than the sum of its proper divisors (20819812).

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

10335312 is a wasteful number, since it uses less digits than its factorization.

10335312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5548 (or 5539 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 10335312 is about 3214.8580061956. The cubic root of 10335312 is about 217.8250707909.

Adding to 10335312 its reverse (21353301), we get a palindrome (31688613).

The spelling of 10335312 in words is "ten million, three hundred thirty-five thousand, three hundred twelve".