30414825 has 96 divisors (see below), whose sum is σ = 65829120. Its totient is φ = 13478400.

The previous prime is 30414817. The next prime is 30414829. The reversal of 30414825 is 52841403.

It is not a de Polignac number, because 30414825 - 2³ = 30414817 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (30414829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 193647 + ... + 193803.

It is an arithmetic number, because the mean of its divisors is an integer number (685720).

Almost surely, 2^30414825 is an apocalyptic number.

30414825 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

30414825 is an abundant number, since it is smaller than the sum of its proper divisors (35414295).

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

30414825 is a wasteful number, since it uses less digits than its factorization.

30414825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 30414825 is about 5514.9637351482. The cubic root of 30414825 is about 312.1488749569.

It can be divided in two parts, 304 and 14825, that added together give a square (15129 = 123²).

The spelling of 30414825 in words is "thirty million, four hundred fourteen thousand, eight hundred twenty-five".