4692 has 24 divisors (see below), whose sum is σ = 12096. Its totient is φ = 1408.

The previous prime is 4691. The next prime is 4703. The reversal of 4692 is 2964.

It is a plaindrome in base 8 and base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4691) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 193 + ... + 215.

It is an arithmetic number, because the mean of its divisors is an integer number (504).

2⁴⁶⁹² is an apocalyptic number.

It is a pronic number, being equal to 68×69.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6048).

4692 is an abundant number, since it is smaller than the sum of its proper divisors (7404).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4692 is a wasteful number, since it uses less digits than its factorization.

4692 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47 (or 45 counting only the distinct ones).

The product of its digits is 432, while the sum is 21.

The square root of 4692 is about 68.4981751582. The cubic root of 4692 is about 16.7411775028.

Subtracting from 4692 its reverse (2964), we obtain a cube (1728 = 12³).

It can be divided in two parts, 4 and 692, that added together give a palindrome (696).

The spelling of 4692 in words is "four thousand, six hundred ninety-two".