1057633 has 2 divisors, whose sum is σ = 1057634. Its totient is φ = 1057632.

The previous prime is 1057631. The next prime is 1057643. The reversal of 1057633 is 3367501.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1024144 + 33489 = 1012^2 + 183^2 .

It is a cyclic number.

It is not a de Polignac number, because 1057633 - 2¹ = 1057631 is a prime.

It is a super-2 number, since 2×1057633² = 2237175125378, which contains 22 as substring.

Together with 1057631, it forms a pair of twin primes.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 1057598 and 1057607.

It is not a weakly prime, because it can be changed into another prime (1057631) 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, 528816 + 528817.

It is an arithmetic number, because the mean of its divisors is an integer number (528817).

2^1057633 is an apocalyptic number.

It is an amenable number.

1057633 is a deficient number, since it is larger than the sum of its proper divisors (1).

1057633 is an equidigital number, since it uses as much as digits as its factorization.

1057633 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1890, while the sum is 25.

The square root of 1057633 is about 1028.4128548399. The cubic root of 1057633 is about 101.8853318589.

It can be divided in two parts, 10576 and 33, that added together give a square (10609 = 103²).

The spelling of 1057633 in words is "one million, fifty-seven thousand, six hundred thirty-three".