29975625 has 45 divisors (see below), whose sum is σ = 54856659. Its totient is φ = 15768000.

The previous prime is 29975611. The next prime is 29975639. The reversal of 29975625 is 52657992.

The square root of 29975625 is 5475.

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

It is an interprime number because it is at equal distance from previous prime (29975611) and next prime (29975639).

It can be written as a sum of positive squares in 7 ways, for example, as 21261321 + 8714304 = 4611^2 + 2952^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 29975625 - 2⁵ = 29975593 is a prime.

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

Its product of digits (340200) is a multiple of the sum of its prime divisors (81).

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 44 ways as a sum of consecutive naturals, for example, 410589 + ... + 410661.

Almost surely, 2^29975625 is an apocalyptic number.

29975625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

29975625 is the 5475-th square number.

29975625 is the 2738-th centered octagonal number.

It is an amenable number.

29975625 is a deficient number, since it is larger than the sum of its proper divisors (24881034).

29975625 is an frugal number, since it uses more digits than its factorization.

29975625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 81 counting only the distinct ones).

The product of its digits is 340200, while the sum is 45.

The cubic root of 29975625 is about 310.6390735796.

The spelling of 29975625 in words is "twenty-nine million, nine hundred seventy-five thousand, six hundred twenty-five".