42092 has 12 divisors (see below), whose sum is σ = 78120. Its totient is φ = 19776.

The previous prime is 42089. The next prime is 42101. The reversal of 42092 is 29024.

42092 = 69² + 70² + ... + 76².

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 42092.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 242 + ... + 377.

It is an arithmetic number, because the mean of its divisors is an integer number (6510).

2⁴²⁰⁹² is an apocalyptic number.

It is an amenable number.

42092 is a deficient number, since it is larger than the sum of its proper divisors (36028).

42092 is a wasteful number, since it uses less digits than its factorization.

42092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640 (or 638 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 42092 is about 205.1633495535. The cubic root of 42092 is about 34.7856284516.

It can be divided in two parts, 420 and 92, that added together give a 9-th power (512 = 2⁹).

The spelling of 42092 in words is "forty-two thousand, ninety-two".