10725827 has 16 divisors (see below), whose sum is σ = 13079232. Its totient is φ = 8586240.

The previous prime is 10725821. The next prime is 10725833. The reversal of 10725827 is 72852701.

10725827 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10725821) and next prime (10725833).

It is a cyclic number.

It is not a de Polignac number, because 10725827 - 2⁴ = 10725811 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10725793 and 10725802.

It is not an unprimeable number, because it can be changed into a prime (10725821) 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, 20327 + ... + 20847.

It is an arithmetic number, because the mean of its divisors is an integer number (817452).

Almost surely, 2^10725827 is an apocalyptic number.

10725827 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

10725827 is a deficient number, since it is larger than the sum of its proper divisors (2353405).

10725827 is a wasteful number, since it uses less digits than its factorization.

10725827 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 718.

The product of its (nonzero) digits is 7840, while the sum is 32.

The square root of 10725827 is about 3275.0308395495. The cubic root of 10725827 is about 220.5346980154.

The spelling of 10725827 in words is "ten million, seven hundred twenty-five thousand, eight hundred twenty-seven".