368961 has 8 divisors (see below), whose sum is σ = 517920. Its totient is φ = 232992.

The previous prime is 368957. The next prime is 369007. The reversal of 368961 is 169863.

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

It is not a de Polignac number, because 368961 - 2² = 368957 is a prime.

It is a super-2 number, since 2×368961² = 272264439042, which contains 22 as substring.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

368961 is a lucky number.

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (368911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3180 + ... + 3293.

It is an arithmetic number, because the mean of its divisors is an integer number (64740).

2³⁶⁸⁹⁶¹ is an apocalyptic number.

It is an amenable number.

368961 is a deficient number, since it is larger than the sum of its proper divisors (148959).

368961 is a wasteful number, since it uses less digits than its factorization.

368961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6495.

The product of its digits is 7776, while the sum is 33.

The square root of 368961 is about 607.4215998794. The cubic root of 368961 is about 71.7232819863.

The spelling of 368961 in words is "three hundred sixty-eight thousand, nine hundred sixty-one".