10221849 has 32 divisors (see below), whose sum is σ = 16711680. Its totient is φ = 6123600.

The previous prime is 10221803. The next prime is 10221853. The reversal of 10221849 is 94812201.

It is not a de Polignac number, because 10221849 - 2²⁰ = 9173273 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10221899) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37584 + ... + 37854.

It is an arithmetic number, because the mean of its divisors is an integer number (522240).

Almost surely, 2^10221849 is an apocalyptic number.

It is an amenable number.

10221849 is a deficient number, since it is larger than the sum of its proper divisors (6489831).

10221849 is a wasteful number, since it uses less digits than its factorization.

10221849 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 10221849 is about 3197.1626483493. The cubic root of 10221849 is about 217.0250277291.

The spelling of 10221849 in words is "ten million, two hundred twenty-one thousand, eight hundred forty-nine".