808364961 has 8 divisors (see below), whose sum is σ = 1197577760. Its totient is φ = 538909956.

The previous prime is 808364941. The next prime is 808364981. The reversal of 808364961 is 169463808.

808364961 is a `hidden beast` number, since 80 + 83 + 6 + 496 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (808364941) and next prime (808364981).

It is not a de Polignac number, because 808364961 - 2⁵ = 808364929 is a prime.

It is a super-3 number, since 3×808364961³ (a number of 28 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (808364911) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14969695 + ... + 14969748.

It is an arithmetic number, because the mean of its divisors is an integer number (149697220).

Almost surely, 2^808364961 is an apocalyptic number.

It is an amenable number.

808364961 is a deficient number, since it is larger than the sum of its proper divisors (389212799).

808364961 is a wasteful number, since it uses less digits than its factorization.

808364961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29939452 (or 29939446 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 808364961 is about 28431.7597239425. The cubic root of 808364961 is about 931.5421136905.

The spelling of 808364961 in words is "eight hundred eight million, three hundred sixty-four thousand, nine hundred sixty-one".