399827317761 has 9 divisors (see below), whose sum is σ = 577531087939. Its totient is φ = 266550280536.

The previous prime is 399827317663. The next prime is 399827317789. The reversal of 399827317761 is 167713728993.

The square root of 399827317761 is 632319.

It is a perfect power (a square), and thus also a powerful number.

399827317761 is a `hidden beast` number, since 399 + 8 + 2 + 73 + 177 + 6 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 48600407025 + 351226910736 = 220455^2 + 592644^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 399827317761 - 2⁹ = 399827317249 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (399827317061) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1791571 + ... + 2002343.

Almost surely, 2^399827317761 is an apocalyptic number.

399827317761 is the 632319-th square number.

399827317761 is the 316160-th centered octagonal number.

It is an amenable number.

399827317761 is a deficient number, since it is larger than the sum of its proper divisors (177703770178).

399827317761 is an frugal number, since it uses more digits than its factorization.

399827317761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421552 (or 210776 counting only the distinct ones).

The product of its digits is 24004512, while the sum is 63.

The spelling of 399827317761 in words is "three hundred ninety-nine billion, eight hundred twenty-seven million, three hundred seventeen thousand, seven hundred sixty-one".