10034001 has 12 divisors (see below), whose sum is σ = 14543412. Its totient is φ = 6666336.

The previous prime is 10033999. The next prime is 10034009. The reversal of 10034001 is 10043001.

It can be written as a sum of positive squares in 2 ways, for example, as 5198400 + 4835601 = 2280^2 + 2199^2 .

It is not a de Polignac number, because 10034001 - 2¹ = 10033999 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10034009) 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, 1095 + ... + 4611.

It is an arithmetic number, because the mean of its divisors is an integer number (1211951).

Almost surely, 2^10034001 is an apocalyptic number.

It is an amenable number.

10034001 is a deficient number, since it is larger than the sum of its proper divisors (4509411).

10034001 is a wasteful number, since it uses less digits than its factorization.

10034001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3840 (or 3837 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 10034001 is about 3167.6491282969. The cubic root of 10034001 is about 215.6873692296.

Adding to 10034001 its reverse (10043001), we get a palindrome (20077002).

The spelling of 10034001 in words is "ten million, thirty-four thousand, one".