1023361 has 2 divisors, whose sum is σ = 1023362. Its totient is φ = 1023360.

The previous prime is 1023353. The next prime is 1023367. The reversal of 1023361 is 1633201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 921600 + 101761 = 960^2 + 319^2 .

It is an emirp because it is prime and its reverse (1633201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1023361 - 2³ = 1023353 is a prime.

1023361 is a lucky number.

It is not a weakly prime, because it can be changed into another prime (1023367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 511680 + 511681.

It is an arithmetic number, because the mean of its divisors is an integer number (511681).

2^1023361 is an apocalyptic number.

It is an amenable number.

1023361 is a deficient number, since it is larger than the sum of its proper divisors (1).

1023361 is an equidigital number, since it uses as much as digits as its factorization.

1023361 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 16.

The square root of 1023361 is about 1011.6130683221. The cubic root of 1023361 is about 100.7727137553.

Adding to 1023361 its reverse (1633201), we get a palindrome (2656562).

The spelling of 1023361 in words is "one million, twenty-three thousand, three hundred sixty-one".