10417561 has 16 divisors (see below), whose sum is σ = 13074048. Its totient is φ = 8064000.

The previous prime is 10417553. The next prime is 10417577. The reversal of 10417561 is 16571401.

It is a happy number.

It is not a de Polignac number, because 10417561 - 2³ = 10417553 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10417501) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14511 + ... + 15211.

It is an arithmetic number, because the mean of its divisors is an integer number (817128).

Almost surely, 2^10417561 is an apocalyptic number.

10417561 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10417561 is a deficient number, since it is larger than the sum of its proper divisors (2656487).

10417561 is a wasteful number, since it uses less digits than its factorization.

10417561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 912.

The product of its (nonzero) digits is 840, while the sum is 25.

The square root of 10417561 is about 3227.6246683901. The cubic root of 10417561 is about 218.4013661822.

Adding to 10417561 its reverse (16571401), we get a palindrome (26988962).

The spelling of 10417561 in words is "ten million, four hundred seventeen thousand, five hundred sixty-one".