29430625 has 45 divisors (see below), whose sum is σ = 44205381. Its totient is φ = 19530000.

The previous prime is 29430613. The next prime is 29430637. The reversal of 29430625 is 52603492.

The square root of 29430625 is 5425.

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 (29430613) and next prime (29430637).

It can be written as a sum of positive squares in 2 ways, for example, as 2307361 + 27123264 = 1519^2 + 5208^2 .

It is not a de Polignac number, because 29430625 - 2⁹ = 29430113 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 949360 + ... + 949390.

Almost surely, 2^29430625 is an apocalyptic number.

29430625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

29430625 is the 5425-th square number.

29430625 is the 2713-rd centered octagonal number.

It is an amenable number.

29430625 is a deficient number, since it is larger than the sum of its proper divisors (14774756).

29430625 is an frugal number, since it uses more digits than its factorization.

29430625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 43 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 31.

The cubic root of 29430625 is about 308.7449255287.

The spelling of 29430625 in words is "twenty-nine million, four hundred thirty thousand, six hundred twenty-five".