368641 has 8 divisors (see below), whose sum is σ = 453824. Its totient is φ = 291600.

The previous prime is 368633. The next prime is 368647. The reversal of 368641 is 146863.

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

It is a 3-Lehmer number, since φ(368641) divides (368641-1)³.

It is a cyclic number.

It is not a de Polignac number, because 368641 - 2³ = 368633 is a prime.

It is a nialpdrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (368647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1935 + ... + 2116.

It is an arithmetic number, because the mean of its divisors is an integer number (56728).

It is a Proth number, since it is equal to 45 ⋅ 2¹³ + 1 and 45 < 2¹³.

2³⁶⁸⁶⁴¹ is an apocalyptic number.

It is an amenable number.

368641 is a deficient number, since it is larger than the sum of its proper divisors (85183).

368641 is a wasteful number, since it uses less digits than its factorization.

368641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4071.

The product of its digits is 3456, while the sum is 28.

The square root of 368641 is about 607.1581342616. The cubic root of 368641 is about 71.7025407800.

It can be divided in two parts, 3 and 68641, that added together give a square (68644 = 262²).

The spelling of 368641 in words is "three hundred sixty-eight thousand, six hundred forty-one".