362801 has 2 divisors, whose sum is σ = 362802. Its totient is φ = 362800.

The previous prime is 362759. The next prime is 362851. The reversal of 362801 is 108263.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 361201 + 1600 = 601^2 + 40^2 .

It is an emirp because it is prime and its reverse (108263) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 362801 - 2¹⁴ = 346417 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 362801.

It is not a weakly prime, because it can be changed into another prime (362851) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 181400 + 181401.

It is an arithmetic number, because the mean of its divisors is an integer number (181401).

2³⁶²⁸⁰¹ is an apocalyptic number.

It is an amenable number.

362801 is a deficient number, since it is larger than the sum of its proper divisors (1).

362801 is an equidigital number, since it uses as much as digits as its factorization.

362801 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 362801 is about 602.3296439658. The cubic root of 362801 is about 71.3218870232.

The spelling of 362801 in words is "three hundred sixty-two thousand, eight hundred one".