368721 has 12 divisors (see below), whose sum is σ = 543348. Its totient is φ = 240864.

The previous prime is 368717. The next prime is 368729. The reversal of 368721 is 127863.

It can be written as a sum of positive squares in 2 ways, for example, as 129600 + 239121 = 360^2 + 489^2 .

It is not a de Polignac number, because 368721 - 2² = 368717 is a prime.

368721 is a lucky number.

It is a nialpdrome in base 13 and base 14.

It is not an unprimeable number, because it can be changed into a prime (368729) 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 11 ways as a sum of consecutive naturals, for example, 91 + ... + 863.

It is an arithmetic number, because the mean of its divisors is an integer number (45279).

2³⁶⁸⁷²¹ is an apocalyptic number.

It is an amenable number.

368721 is a deficient number, since it is larger than the sum of its proper divisors (174627).

368721 is a wasteful number, since it uses less digits than its factorization.

368721 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 832 (or 829 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 368721 is about 607.2240113829. The cubic root of 368721 is about 71.7077272065.

It can be divided in two parts, 368 and 721, that added together give a square (1089 = 33²).

The spelling of 368721 in words is "three hundred sixty-eight thousand, seven hundred twenty-one".