1001601 has 12 divisors (see below), whose sum is σ = 1461460. Its totient is φ = 660960.

The previous prime is 1001593. The next prime is 1001621. The reversal of 1001601 is 1061001.

It can be written as a sum of positive squares in 2 ways, for example, as 641601 + 360000 = 801^2 + 600^2 .

It is not a de Polignac number, because 1001601 - 2³ = 1001593 is a prime.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1001621) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 471 + ... + 1491.

2^1001601 is an apocalyptic number.

It is an amenable number.

1001601 is a deficient number, since it is larger than the sum of its proper divisors (459859).

1001601 is a wasteful number, since it uses less digits than its factorization.

1001601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1136 (or 1133 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 1001601 is about 1000.8001798561. The cubic root of 1001601 is about 100.0533382120.

Adding to 1001601 its reverse (1061001), we get a palindrome (2062602).

The spelling of 1001601 in words is "one million, one thousand, six hundred one".