30492 has 54 divisors (see below), whose sum is σ = 96824. Its totient is φ = 7920.

The previous prime is 30491. The next prime is 30493. The reversal of 30492 is 29403.

30492 = T₁₃ + T₁₄ + ... + T₅₆.

It is an interprime number because it is at equal distance from previous prime (30491) and next prime (30493).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30491) 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, 2767 + ... + 2777.

2³⁰⁴⁹² 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 30492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48412).

30492 is an abundant number, since it is smaller than the sum of its proper divisors (66332).

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

30492 is a wasteful number, since it uses less digits than its factorization.

30492 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 30492 is about 174.6195865303. The cubic root of 30492 is about 31.2412668930.

Subtracting from 30492 its product of nonzero digits (216), we obtain a square (30276 = 174²).

Adding to 30492 its reverse (29403), we get a palindrome (59895).

Subtracting from 30492 its reverse (29403), we obtain a square (1089 = 33²).

The spelling of 30492 in words is "thirty thousand, four hundred ninety-two".