10492 has 12 divisors (see below), whose sum is σ = 19096. Its totient is φ = 5040.

The previous prime is 10487. The next prime is 10499. The reversal of 10492 is 29401.

Adding to 10492 its reverse (29401), we get a palindrome (39893).

It can be divided in two parts, 104 and 92, that added together give a square (196 = 14^{2}).

It is a super-2 number, since 2×10492^{2} = 220164128, which contains 22 as substring.

It is a hoax number, since the sum of its digits (16) coincides with the sum of the digits of its distinct prime factors.

10492 is an undulating number in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10499) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 142 + ... + 202.

2^{10492} is an apocalyptic number.

It is an amenable number.

10492 is a deficient number, since it is larger than the sum of its proper divisors (8604).

10492 is a wasteful number, since it uses less digits than its factorization.

10492 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 10492 is about 102.4304642184. The cubic root of 10492 is about 21.8920329923.

The spelling of 10492 in words is "ten thousand, four hundred ninety-two".

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