365688961 has 16 divisors (see below), whose sum is σ = 407848896. Its totient is φ = 325080000.

The previous prime is 365688959. The next prime is 365689001. The reversal of 365688961 is 169886563.

It is a cyclic number.

It is not a de Polignac number, because 365688961 - 2¹ = 365688959 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 365688899 and 365688908.

It is not an unprimeable number, because it can be changed into a prime (365688941) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 119946 + ... + 122956.

It is an arithmetic number, because the mean of its divisors is an integer number (25490556).

Almost surely, 2^365688961 is an apocalyptic number.

365688961 is the 11041-st octagonal number.

It is an amenable number.

365688961 is a deficient number, since it is larger than the sum of its proper divisors (42159935).

365688961 is a wasteful number, since it uses less digits than its factorization.

365688961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3264.

The product of its digits is 1866240, while the sum is 52.

The square root of 365688961 is about 19122.9956073833. The cubic root of 365688961 is about 715.1063209294.

The spelling of 365688961 in words is "three hundred sixty-five million, six hundred eighty-eight thousand, nine hundred sixty-one".