365727681 has 24 divisors (see below), whose sum is σ = 610200864. Its totient is φ = 208613760.

The previous prime is 365727679. The next prime is 365727689. The reversal of 365727681 is 186727563.

365727681 is a `hidden beast` number, since 3 + 6 + 572 + 76 + 8 + 1 = 666.

It is not a de Polignac number, because 365727681 - 2¹ = 365727679 is a prime.

It is a super-3 number, since 3×365727681³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (365727689) 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, 106971 + ... + 110336.

It is an arithmetic number, because the mean of its divisors is an integer number (25425036).

Almost surely, 2^365727681 is an apocalyptic number.

It is an amenable number.

365727681 is a deficient number, since it is larger than the sum of its proper divisors (244473183).

365727681 is a wasteful number, since it uses less digits than its factorization.

365727681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217341 (or 217338 counting only the distinct ones).

The product of its digits is 423360, while the sum is 45.

The square root of 365727681 is about 19124.0079742715. The cubic root of 365727681 is about 715.1315590803.

It can be divided in two parts, 36572 and 7681, that added together give a triangular number (44253 = T₂₉₇).

The spelling of 365727681 in words is "three hundred sixty-five million, seven hundred twenty-seven thousand, six hundred eighty-one".