96492 has 48 divisors (see below), whose sum is σ = 266112. Its totient is φ = 26880.

The previous prime is 96487. The next prime is 96493. The reversal of 96492 is 29469.

96492 = T₄₃ + T₄₄ + ... + T₈₆.

It is a nialpdrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (96493) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2223 + ... + 2265.

It is an arithmetic number, because the mean of its divisors is an integer number (5544).

2⁹⁶⁴⁹² 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 96492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133056).

96492 is an abundant number, since it is smaller than the sum of its proper divisors (169620).

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

96492 is a wasteful number, since it uses less digits than its factorization.

96492 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 76 counting only the distinct ones).

The product of its digits is 3888, while the sum is 30.

The square root of 96492 is about 310.6316146177. The cubic root of 96492 is about 45.8666585917.

It can be divided in two parts, 964 and 92, that multiplied together give a palindrome (88688).

The spelling of 96492 in words is "ninety-six thousand, four hundred ninety-two".