10292 has 12 divisors (see below), whose sum is σ = 18816. Its totient is φ = 4920.

The previous prime is 10289. The next prime is 10301. The reversal of 10292 is 29201.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 10292.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 83 + ... + 165.

It is an arithmetic number, because the mean of its divisors is an integer number (1568).

2¹⁰²⁹² is an apocalyptic number.

10292 is the 83-rd pentagonal number.

It is an amenable number.

10292 is a deficient number, since it is larger than the sum of its proper divisors (8524).

10292 is a wasteful number, since it uses less digits than its factorization.

10292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 10292 is about 101.4494948238. The cubic root of 10292 is about 21.7520366261.

Adding to 10292 its reverse (29201), we get a palindrome (39493).

The spelling of 10292 in words is "ten thousand, two hundred ninety-two".