92742 has 32 divisors (see below), whose sum is σ = 211680. Its totient is φ = 26880.

The previous prime is 92737. The next prime is 92753. The reversal of 92742 is 24729.

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 92742.

It is an unprimeable number.

92742 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2242 + ... + 2282.

It is an arithmetic number, because the mean of its divisors is an integer number (6615).

2⁹²⁷⁴² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 92742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105840).

92742 is an abundant number, since it is smaller than the sum of its proper divisors (118938).

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

92742 is a wasteful number, since it uses less digits than its factorization.

92742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88.

The product of its digits is 1008, while the sum is 24.

The square root of 92742 is about 304.5357121915. The cubic root of 92742 is about 45.2646137795.

It can be divided in two parts, 927 and 42, that added together give a palindrome (969).

The spelling of 92742 in words is "ninety-two thousand, seven hundred forty-two".