10400533 has 16 divisors (see below), whose sum is σ = 12309696. Its totient is φ = 8663040.

The previous prime is 10400521. The next prime is 10400591. The reversal of 10400533 is 33500401.

It is a cyclic number.

It is not a de Polignac number, because 10400533 - 2⁵ = 10400501 is a prime.

It is a Duffinian number.

10400533 is a modest number, since divided by 533 gives 104 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10400513) by changing a digit.

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 in 15 ways as a sum of consecutive naturals, for example, 36610 + ... + 36892.

It is an arithmetic number, because the mean of its divisors is an integer number (769356).

Almost surely, 2^10400533 is an apocalyptic number.

10400533 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10400533 is a deficient number, since it is larger than the sum of its proper divisors (1909163).

10400533 is a wasteful number, since it uses less digits than its factorization.

10400533 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564.

The product of its (nonzero) digits is 180, while the sum is 16.

The square root of 10400533 is about 3224.9857364026. The cubic root of 10400533 is about 218.2823054742.

Adding to 10400533 its reverse (33500401), we get a palindrome (43900934).

The spelling of 10400533 in words is "ten million, four hundred thousand, five hundred thirty-three".