10713825 has 36 divisors (see below), whose sum is σ = 20325708. Its totient is φ = 5376000.

The previous prime is 10713823. The next prime is 10713851. The reversal of 10713825 is 52831701.

10713825 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 6 ways, for example, as 1296 + 10712529 = 36^2 + 3273^2 .

It is not a de Polignac number, because 10713825 - 2¹ = 10713823 is a prime.

It is a super-2 number, since 2×10713825² = 229572092261250, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (10713823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2425 + ... + 5225.

It is an arithmetic number, because the mean of its divisors is an integer number (564603).

Almost surely, 2^10713825 is an apocalyptic number.

10713825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10713825 is a deficient number, since it is larger than the sum of its proper divisors (9611883).

10713825 is a wasteful number, since it uses less digits than its factorization.

10713825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2834 (or 2826 counting only the distinct ones).

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

The square root of 10713825 is about 3273.1979775137. The cubic root of 10713825 is about 220.4524092457.

The spelling of 10713825 in words is "ten million, seven hundred thirteen thousand, eight hundred twenty-five".