29700 has 72 divisors (see below), whose sum is σ = 104160. Its totient is φ = 7200.

The previous prime is 29683. The next prime is 29717. The reversal of 29700 is 792.

29700 = 16³ + 17³ + ... + 20³.

It is an interprime number because it is at equal distance from previous prime (29683) and next prime (29717).

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

It is an unprimeable number.

29700 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2695 + ... + 2705.

2²⁹⁷⁰⁰ is an apocalyptic number.

29700 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52080).

29700 is an abundant number, since it is smaller than the sum of its proper divisors (74460).

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

29700 is a wasteful number, since it uses less digits than its factorization.

29700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 29700 is about 172.3368793961. The cubic root of 29700 is about 30.9684034637.

It can be divided in two parts, 29 and 700, that added together give a 6-th power (729 = 3⁶).

The spelling of 29700 in words is "twenty-nine thousand, seven hundred".