93492 has 54 divisors (see below), whose sum is σ = 280098. Its totient is φ = 26208.

The previous prime is 93491. The next prime is 93493. The reversal of 93492 is 29439.

It is an interprime number because it is at equal distance from previous prime (93491) and next prime (93493).

It can be written as a sum of positive squares in only one way, i.e., 86436 + 7056 = 294^2 + 84^2 .

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93491) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1738 + ... + 1790.

It is an arithmetic number, because the mean of its divisors is an integer number (5187).

2⁹³⁴⁹² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 93492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140049).

93492 is an abundant number, since it is smaller than the sum of its proper divisors (186606).

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

93492 is a wasteful number, since it uses less digits than its factorization.

93492 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 65 counting only the distinct ones).

The product of its digits is 1944, while the sum is 27.

The square root of 93492 is about 305.7646153498. The cubic root of 93492 is about 45.3863039023.

It can be divided in two parts, 93 and 492, that added together give a palindrome (585).

The spelling of 93492 in words is "ninety-three thousand, four hundred ninety-two".