92801 has 2 divisors, whose sum is σ = 92802. Its totient is φ = 92800.

The previous prime is 92791. The next prime is 92809. The reversal of 92801 is 10829.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 87025 + 5776 = 295^2 + 76^2 .

It is a cyclic number.

It is not a de Polignac number, because 92801 - 2⁶ = 92737 is a prime.

It is a super-2 number, since 2×92801² = 17224051202, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (92809) 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 as a sum of consecutive naturals, namely, 46400 + 46401.

It is an arithmetic number, because the mean of its divisors is an integer number (46401).

2⁹²⁸⁰¹ is an apocalyptic number.

It is an amenable number.

92801 is a deficient number, since it is larger than the sum of its proper divisors (1).

92801 is an equidigital number, since it uses as much as digits as its factorization.

92801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 20.

The square root of 92801 is about 304.6325655605. The cubic root of 92801 is about 45.2742104602.

The spelling of 92801 in words is "ninety-two thousand, eight hundred one".