816833201 has 24 divisors (see below), whose sum is σ = 898827072. Its totient is φ = 740361600.

The previous prime is 816833197. The next prime is 816833207. The reversal of 816833201 is 102338618.

It is a happy number.

It is not a de Polignac number, because 816833201 - 2² = 816833197 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (816833207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1430246 + ... + 1430816.

It is an arithmetic number, because the mean of its divisors is an integer number (37451128).

Almost surely, 2^816833201 is an apocalyptic number.

It is an amenable number.

816833201 is a deficient number, since it is larger than the sum of its proper divisors (81993871).

816833201 is a wasteful number, since it uses less digits than its factorization.

816833201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 713 (or 672 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 816833201 is about 28580.2939278098. The cubic root of 816833201 is about 934.7836921337.

The spelling of 816833201 in words is "eight hundred sixteen million, eight hundred thirty-three thousand, two hundred one".