29829825 has 36 divisors (see below), whose sum is σ = 53752140. Its totient is φ = 15813120.

The previous prime is 29829823. The next prime is 29829841. The reversal of 29829825 is 52892892.

It can be written as a sum of positive squares in 6 ways, for example, as 6471936 + 23357889 = 2544^2 + 4833^2 .

It is not a de Polignac number, because 29829825 - 2¹ = 29829823 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

Its product of digits (207360) is a multiple of the sum of its prime divisors (810).

It is not an unprimeable number, because it can be changed into a prime (29829823) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 52141 + ... + 52709.

It is an arithmetic number, because the mean of its divisors is an integer number (1493115).

Almost surely, 2^29829825 is an apocalyptic number.

29829825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

29829825 is a deficient number, since it is larger than the sum of its proper divisors (23922315).

29829825 is a wasteful number, since it uses less digits than its factorization.

29829825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 818 (or 810 counting only the distinct ones).

The product of its digits is 207360, while the sum is 45.

The square root of 29829825 is about 5461.6687010473. The cubic root of 29829825 is about 310.1346102880.

The spelling of 29829825 in words is "twenty-nine million, eight hundred twenty-nine thousand, eight hundred twenty-five".