10492781 has 16 divisors (see below), whose sum is σ = 11705904. Its totient is φ = 9345024.

The previous prime is 10492771. The next prime is 10492813. The reversal of 10492781 is 18729401.

10492781 = 2290² + 2291².

10492781 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 469225 + 10023556 = 685^2 + 3166^2 .

It is not a de Polignac number, because 10492781 - 2⁶ = 10492717 is a prime.

It is a super-2 number, since 2×10492781² = 220196906227922, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10492711) 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 in 15 ways as a sum of consecutive naturals, for example, 66755 + ... + 66911.

It is an arithmetic number, because the mean of its divisors is an integer number (731619).

Almost surely, 2^10492781 is an apocalyptic number.

10492781 is the 2291-st centered square number.

It is an amenable number.

10492781 is a deficient number, since it is larger than the sum of its proper divisors (1213123).

10492781 is a wasteful number, since it uses less digits than its factorization.

10492781 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320.

The product of its (nonzero) digits is 4032, while the sum is 32.

The square root of 10492781 is about 3239.2562417938. The cubic root of 10492781 is about 218.9257617611.

The spelling of 10492781 in words is "ten million, four hundred ninety-two thousand, seven hundred eighty-one".