10485617 has 8 divisors (see below), whose sum is σ = 11485800. Its totient is φ = 9528064.

The previous prime is 10485613. The next prime is 10485619. The reversal of 10485617 is 71658401.

It is a happy number.

10485617 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 3297856 + 7187761 = 1816^2 + 2681^2 .

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 10485617 - 2² = 10485613 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10485611) 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, 10142 + ... + 11127.

It is an arithmetic number, because the mean of its divisors is an integer number (1435725).

Almost surely, 2^10485617 is an apocalyptic number.

10485617 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

10485617 is a deficient number, since it is larger than the sum of its proper divisors (1000183).

10485617 is a wasteful number, since it uses less digits than its factorization.

10485617 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21315.

The product of its (nonzero) digits is 6720, while the sum is 32.

The square root of 10485617 is about 3238.1502435804. The cubic root of 10485617 is about 218.8759261890.

The spelling of 10485617 in words is "ten million, four hundred eighty-five thousand, six hundred seventeen".