10249827 has 16 divisors (see below), whose sum is σ = 16538112. Its totient is φ = 5512320.

The previous prime is 10249823. The next prime is 10249853. The reversal of 10249827 is 72894201.

It is a happy number.

10249827 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10249827 - 2² = 10249823 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10249823) 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, 13999 + ... + 14712.

It is an arithmetic number, because the mean of its divisors is an integer number (1033632).

Almost surely, 2^10249827 is an apocalyptic number.

10249827 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

10249827 is a deficient number, since it is larger than the sum of its proper divisors (6288285).

10249827 is a wasteful number, since it uses less digits than its factorization.

10249827 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28738.

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 10249827 is about 3201.5351005416. The cubic root of 10249827 is about 217.2228521754. Note that the first 3 decimals are identical.

The spelling of 10249827 in words is "ten million, two hundred forty-nine thousand, eight hundred twenty-seven".