1035561 has 8 divisors (see below), whose sum is σ = 1428480. Its totient is φ = 666512.

The previous prime is 1035547. The next prime is 1035563. The reversal of 1035561 is 1655301.

It is a happy number.

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 1035561 - 2¹⁴ = 1019177 is a prime.

It is a super-3 number, since 3×1035561³ = 3331565172180790443, which contains 333 as substring.

It is a Curzon number.

1035561 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (1035563) 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, 5865 + ... + 6038.

It is an arithmetic number, because the mean of its divisors is an integer number (178560).

2^1035561 is an apocalyptic number.

It is an amenable number.

1035561 is a deficient number, since it is larger than the sum of its proper divisors (392919).

1035561 is a wasteful number, since it uses less digits than its factorization.

1035561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11935.

The product of its (nonzero) digits is 450, while the sum is 21.

The square root of 1035561 is about 1017.6251765753. The cubic root of 1035561 is about 101.1715869033.

It can be divided in two parts, 1035 and 561, that added together give a triangular number (1596 = T₅₆).

The spelling of 1035561 in words is "one million, thirty-five thousand, five hundred sixty-one".