10001346 has 32 divisors (see below), whose sum is σ = 20865600. Its totient is φ = 3192000.

The previous prime is 10001311. The next prime is 10001347. The reversal of 10001346 is 64310001.

10001346 = 61² + 62² + ... + 311².

It is not an unprimeable number, because it can be changed into a prime (10001347) 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 15 ways as a sum of consecutive naturals, for example, 39721 + ... + 39971.

It is an arithmetic number, because the mean of its divisors is an integer number (652050).

Almost surely, 2^10001346 is an apocalyptic number.

10001346 is an abundant number, since it is smaller than the sum of its proper divisors (10864254).

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

10001346 is a wasteful number, since it uses less digits than its factorization.

10001346 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514.

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 10001346 is about 3162.4904742940. The cubic root of 10001346 is about 215.4531347998.

Adding to 10001346 its reverse (64310001), we get a palindrome (74311347).

It can be divided in two parts, 1000 and 1346, that added together give a triangular number (2346 = T₆₈).

The spelling of 10001346 in words is "ten million, one thousand, three hundred forty-six".