1034001 has 6 divisors (see below), whose sum is σ = 1493570. Its totient is φ = 689328.

The previous prime is 1033987. The next prime is 1034003. The reversal of 1034001 is 1004301.

It can be written as a sum of positive squares in only one way, i.e., 904401 + 129600 = 951^2 + 360^2 .

It is not a de Polignac number, because 1034001 - 2⁹ = 1033489 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 114889 = 1034001 / (1 + 0 + 3 + 4 + 0 + 0 + 1).

It is a Duffinian number.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (1034003) 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 5 ways as a sum of consecutive naturals, for example, 57436 + ... + 57453.

2^1034001 is an apocalyptic number.

It is an amenable number.

1034001 is a deficient number, since it is larger than the sum of its proper divisors (459569).

1034001 is a wasteful number, since it uses less digits than its factorization.

1034001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114895 (or 114892 counting only the distinct ones).

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

The square root of 1034001 is about 1016.8583972216. The cubic root of 1034001 is about 101.1207587390.

Adding to 1034001 its reverse (1004301), we get a palindrome (2038302).

The spelling of 1034001 in words is "one million, thirty-four thousand, one".