1023133 has 2 divisors, whose sum is σ = 1023134. Its totient is φ = 1023132.

The previous prime is 1023107. The next prime is 1023163. The reversal of 1023133 is 3313201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 558009 + 465124 = 747^2 + 682^2 .

It is a cyclic number.

It is not a de Polignac number, because 1023133 - 2⁵ = 1023101 is a prime.

It is a super-2 number, since 2×1023133² = 2093602271378, which contains 22 as substring.

It is the 1012-nd Hogben number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1023163) by changing a digit.

It is a nontrivial repunit in base 1011.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 511566 + 511567.

It is an arithmetic number, because the mean of its divisors is an integer number (511567).

2^1023133 is an apocalyptic number.

It is an amenable number.

1023133 is a deficient number, since it is larger than the sum of its proper divisors (1).

1023133 is an equidigital number, since it uses as much as digits as its factorization.

1023133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54, while the sum is 13.

The square root of 1023133 is about 1011.5003707365. The cubic root of 1023133 is about 100.7652293045.

Adding to 1023133 its reverse (3313201), we get a palindrome (4336334).

It can be divided in two parts, 1023 and 133, that added together give a square (1156 = 34²).

The spelling of 1023133 in words is "one million, twenty-three thousand, one hundred thirty-three".