10317825 has 36 divisors (see below), whose sum is σ = 21123648. Its totient is φ = 4716000.

The previous prime is 10317821. The next prime is 10317829. The reversal of 10317825 is 52871301.

It is an interprime number because it is at equal distance from previous prime (10317821) and next prime (10317829).

It is not a de Polignac number, because 10317825 - 2² = 10317821 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10317821) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1701 + ... + 4850.

It is an arithmetic number, because the mean of its divisors is an integer number (586768).

It is a Proth number, since it is equal to 2519 ⋅ 2¹² + 1 and 2519 < 2¹².

Almost surely, 2^10317825 is an apocalyptic number.

10317825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10317825 is an abundant number, since it is smaller than the sum of its proper divisors (10805823).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10317825 is a wasteful number, since it uses less digits than its factorization.

10317825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6574 (or 6566 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 10317825 is about 3212.1371390400. The cubic root of 10317825 is about 217.7021505434.

The spelling of 10317825 in words is "ten million, three hundred seventeen thousand, eight hundred twenty-five".