10638825 has 12 divisors (see below), whose sum is σ = 17589648. Its totient is φ = 5674000.

The previous prime is 10638781. The next prime is 10638833. The reversal of 10638825 is 52883601.

It is a happy number.

10638825 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 10638825 - 2⁷ = 10638697 is a prime.

It is a super-4 number, since 4×10638825⁴ (a number of 29 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 70851 + ... + 71000.

It is an arithmetic number, because the mean of its divisors is an integer number (1465804).

Almost surely, 2^10638825 is an apocalyptic number.

10638825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10638825 is a deficient number, since it is larger than the sum of its proper divisors (6950823).

10638825 is a wasteful number, since it uses less digits than its factorization.

10638825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141864 (or 141859 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 10638825 is about 3261.7211714063. The cubic root of 10638825 is about 219.9367931369.

The spelling of 10638825 in words is "ten million, six hundred thirty-eight thousand, eight hundred twenty-five".