816577983 has 32 divisors (see below), whose sum is σ = 1379448000. Its totient is φ = 472946688.

The previous prime is 816577981. The next prime is 816578033. The reversal of 816577983 is 389775618.

It is not a de Polignac number, because 816577983 - 2¹ = 816577981 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (816577981) 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, 62458 + ... + 74391.

It is an arithmetic number, because the mean of its divisors is an integer number (43107750).

Almost surely, 2^816577983 is an apocalyptic number.

816577983 is a deficient number, since it is larger than the sum of its proper divisors (562870017).

816577983 is a wasteful number, since it uses less digits than its factorization.

816577983 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136888 (or 136882 counting only the distinct ones).

The product of its digits is 2540160, while the sum is 54.

The square root of 816577983 is about 28575.8286494023. The cubic root of 816577983 is about 934.6863248557.

The spelling of 816577983 in words is "eight hundred sixteen million, five hundred seventy-seven thousand, nine hundred eighty-three".