1005601 has 8 divisors (see below), whose sum is σ = 1074600. Its totient is φ = 937728.

The previous prime is 1005593. The next prime is 1005617. The reversal of 1005601 is 1065001.

It can be written as a sum of positive squares in 4 ways, for example, as 159201 + 846400 = 399^2 + 920^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1005601 - 2³ = 1005593 is a prime.

It is a super-2 number, since 2×1005601² = 2022466742402, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1005661) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2335 + ... + 2731.

It is an arithmetic number, because the mean of its divisors is an integer number (134325).

2^1005601 is an apocalyptic number.

It is an amenable number.

1005601 is a deficient number, since it is larger than the sum of its proper divisors (68999).

1005601 is a wasteful number, since it uses less digits than its factorization.

1005601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563.

The product of its (nonzero) digits is 30, while the sum is 13.

The square root of 1005601 is about 1002.7965895435. The cubic root of 1005601 is about 100.1863525117.

The spelling of 1005601 in words is "one million, five thousand, six hundred one".