25735830 has 32 divisors (see below), whose sum is σ = 62553600. Its totient is φ = 6775392.

The previous prime is 25735819. The next prime is 25735849. The reversal of 25735830 is 3853752.

25735830 = T₁₄₅ + T₁₄₆ + ... + T₅₃₉.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 25735791 and 25735800.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 3060 + ... + 7799.

It is an arithmetic number, because the mean of its divisors is an integer number (1954800).

Almost surely, 2^25735830 is an apocalyptic number.

25735830 is an abundant number, since it is smaller than the sum of its proper divisors (36817770).

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

25735830 is a wasteful number, since it uses less digits than its factorization.

25735830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10948.

The product of its (nonzero) digits is 25200, while the sum is 33.

The square root of 25735830 is about 5073.0493788253. The cubic root of 25735830 is about 295.2428527841.

It can be divided in two parts, 25735 and 830, that added together give a triangular number (26565 = T₂₃₀).

The spelling of 25735830 in words is "twenty-five million, seven hundred thirty-five thousand, eight hundred thirty".