368561 has 8 divisors (see below), whose sum is σ = 388800. Its totient is φ = 348880.

The previous prime is 368551. The next prime is 368579. The reversal of 368561 is 165863.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 368561 - 2¹⁸ = 106417 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (368521) 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, 1970 + ... + 2148.

It is an arithmetic number, because the mean of its divisors is an integer number (48600).

2³⁶⁸⁵⁶¹ is an apocalyptic number.

368561 is the 272-nd centered decagonal number.

It is an amenable number.

368561 is a deficient number, since it is larger than the sum of its proper divisors (20239).

368561 is a wasteful number, since it uses less digits than its factorization.

368561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279.

The product of its digits is 4320, while the sum is 29.

The square root of 368561 is about 607.0922499917. The cubic root of 368561 is about 71.6973536031.

It can be divided in two parts, 3685 and 61, that multiplied together give a triangular number (224785 = T₆₇₀).

The spelling of 368561 in words is "three hundred sixty-eight thousand, five hundred sixty-one".