1633361 has 2 divisors, whose sum is σ = 1633362. Its totient is φ = 1633360.

The previous prime is 1633339. The next prime is 1633363.

1633361 is nontrivially palindromic in base 10.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1336336 + 297025 = 1156^2 + 545^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 1633361 - 2¹⁸ = 1371217 is a prime.

Together with 1633363, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (1633363) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 816680 + 816681.

It is an arithmetic number, because the mean of its divisors is an integer number (816681).

2^1633361 is an apocalyptic number.

It is an amenable number.

1633361 is a deficient number, since it is larger than the sum of its proper divisors (1).

1633361 is an equidigital number, since it uses as much as digits as its factorization.

1633361 is an evil number, because the sum of its binary digits is even.

The product of its digits is 972, while the sum is 23.

The square root of 1633361 is about 1278.0301248406. The cubic root of 1633361 is about 117.7680255430.

The spelling of 1633361 in words is "one million, six hundred thirty-three thousand, three hundred sixty-one".