29648025 has 75 divisors (see below), whose sum is σ = 60409855. Its totient is φ = 14374800.

The previous prime is 29647987. The next prime is 29648039. The reversal of 29648025 is 52084692.

It is a happy number.

The square root of 29648025 is 5445.

It is a perfect power (a square), and thus also a powerful number.

29648025 is a `hidden beast` number, since 2 + 9 + 648 + 0 + 2 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10673289 + 18974736 = 3267^2 + 4356^2 .

It is a tau number, because it is divible by the number of its divisors (75).

It is not a de Polignac number, because 29648025 - 2¹⁷ = 29516953 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 2695270 + ... + 2695280.

Almost surely, 2^29648025 is an apocalyptic number.

29648025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

29648025 is the 5445-th square number.

29648025 is the 2723-rd centered octagonal number.

It is an amenable number.

29648025 is an abundant number, since it is smaller than the sum of its proper divisors (30761830).

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

29648025 is an frugal number, since it uses more digits than its factorization.

29648025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 19 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The cubic root of 29648025 is about 309.5032801355.

Multiplying 29648025 by its sum of digits (36), we get a square (1067328900 = 32670²).

The spelling of 29648025 in words is "twenty-nine million, six hundred forty-eight thousand, twenty-five".