4192 has 12 divisors (see below), whose sum is σ = 8316. Its totient is φ = 2080.

The previous prime is 4177. The next prime is 4201. The reversal of 4192 is 2914.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a plaindrome in base 9.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 34 + ... + 97.

It is an arithmetic number, because the mean of its divisors is an integer number (693).

2⁴¹⁹² is an apocalyptic number.

It is an amenable number.

4192 is a deficient number, since it is larger than the sum of its proper divisors (4124).

4192 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (4191) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (141).

4192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 133 counting only the distinct ones).

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

The square root of 4192 is about 64.7456562250. The cubic root of 4192 is about 16.1240359578.

4192 divided by its sum of digits (16) gives a palindrome (262).

It can be divided in two parts, 419 and 2, that multiplied together give a palindrome (838).

The spelling of 4192 in words is "four thousand, one hundred ninety-two".