29492 has 12 divisors (see below), whose sum is σ = 52836. Its totient is φ = 14400.

The previous prime is 29483. The next prime is 29501.

29492 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (29483) and next prime (29501).

It can be written as a sum of positive squares in 2 ways, for example, as 23716 + 5776 = 154^2 + 76^2 .

It is an alternating number because its digits alternate between even and odd.

It is a zygodrome in base 3.

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 29492.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 242 + ... + 342.

It is an arithmetic number, because the mean of its divisors is an integer number (4403).

2²⁹⁴⁹² is an apocalyptic number.

It is an amenable number.

29492 is a deficient number, since it is larger than the sum of its proper divisors (23344).

29492 is a wasteful number, since it uses less digits than its factorization.

29492 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 176 counting only the distinct ones).

The product of its digits is 1296, while the sum is 26.

The square root of 29492 is about 171.7323498937. The cubic root of 29492 is about 30.8959396710.

The spelling of 29492 in words is "twenty-nine thousand, four hundred ninety-two".