39492 has 18 divisors (see below), whose sum is σ = 99918. Its totient is φ = 13152.

The previous prime is 39461. The next prime is 39499. The reversal of 39492 is 29493.

It can be written as a sum of positive squares in only one way, i.e., 30276 + 9216 = 174^2 + 96^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

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

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (39499) by changing a digit.

39492 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 5 ways as a sum of consecutive naturals, for example, 513 + ... + 584.

It is an arithmetic number, because the mean of its divisors is an integer number (5551).

2³⁹⁴⁹² is an apocalyptic number.

It is an amenable number.

39492 is an abundant number, since it is smaller than the sum of its proper divisors (60426).

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

39492 is a wasteful number, since it uses less digits than its factorization.

39492 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1107 (or 1102 counting only the distinct ones).

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

The square root of 39492 is about 198.7259419402. The cubic root of 39492 is about 34.0541237154.

Subtracting from 39492 its reverse (29493), we obtain a palindrome (9999).

The spelling of 39492 in words is "thirty-nine thousand, four hundred ninety-two".