29797 has 4 divisors (see below), whose sum is σ = 30240. Its totient is φ = 29356.

The previous prime is 29789. The next prime is 29803. The reversal of 29797 is 79792.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 29797 - 2³ = 29789 is a prime.

It is a super-3 number, since 3×29797³ = 79366801333719, which contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a plaindrome in base 9.

It is a zygodrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29717) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 97 + ... + 262.

It is an arithmetic number, because the mean of its divisors is an integer number (7560).

2²⁹⁷⁹⁷ is an apocalyptic number.

It is an amenable number.

29797 is a deficient number, since it is larger than the sum of its proper divisors (443).

29797 is an equidigital number, since it uses as much as digits as its factorization.

29797 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442.

The product of its digits is 7938, while the sum is 34.

The square root of 29797 is about 172.6180755309. The cubic root of 29797 is about 31.0020810258.

The spelling of 29797 in words is "twenty-nine thousand, seven hundred ninety-seven".