801916605 has 120 divisors (see below), whose sum is σ = 1771315128. Its totient is φ = 344881152.

The previous prime is 801916601. The next prime is 801916627. The reversal of 801916605 is 506619108.

It can be written as a sum of positive squares in 4 ways, for example, as 131469156 + 670447449 = 11466^2 + 25893^2 .

It is not a de Polignac number, because 801916605 - 2² = 801916601 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 801916605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (801916601) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 336177 + ... + 338553.

Almost surely, 2^801916605 is an apocalyptic number.

801916605 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

801916605 is an abundant number, since it is smaller than the sum of its proper divisors (969398523).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

801916605 is a wasteful number, since it uses less digits than its factorization.

801916605 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2425 (or 2409 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 801916605 is about 28318.1320888225. The cubic root of 801916605 is about 929.0585165157.

The spelling of 801916605 in words is "eight hundred one million, nine hundred sixteen thousand, six hundred five".