921601 has 2 divisors, whose sum is σ = 921602. Its totient is φ = 921600.

The previous prime is 921589. The next prime is 921611. The reversal of 921601 is 106129.

It is a Cunningham number, because it is equal to 960²+1.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 921600 + 1 = 960^2 + 1^2 .

It is an emirp because it is prime and its reverse (106129) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 921601 - 2¹⁷ = 790529 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (921611) 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 as a sum of consecutive naturals, namely, 460800 + 460801.

It is an arithmetic number, because the mean of its divisors is an integer number (460801).

921601 is a Friedman number, since it can be written as (96*10)^2+1, using all its digits and the basic arithmetic operations.

It is a Proth number, since it is equal to 225 ⋅ 2¹² + 1 and 225 < 2¹².

2⁹²¹⁶⁰¹ is an apocalyptic number.

It is an amenable number.

921601 is a deficient number, since it is larger than the sum of its proper divisors (1).

921601 is an equidigital number, since it uses as much as digits as its factorization.

921601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 19.

The square root of 921601 is about 960.0005208332. Note that the first 3 decimals coincide. The cubic root of 921601 is about 97.3152671271.

The spelling of 921601 in words is "nine hundred twenty-one thousand, six hundred one".