25830 has 48 divisors (see below), whose sum is σ = 78624. Its totient is φ = 5760.

The previous prime is 25819. The next prime is 25841. The reversal of 25830 is 3852.

It is an interprime number because it is at equal distance from previous prime (25819) and next prime (25841).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is an unprimeable number.

25830 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 610 + ... + 650.

It is an arithmetic number, because the mean of its divisors is an integer number (1638).

2²⁵⁸³⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39312).

25830 is an abundant number, since it is smaller than the sum of its proper divisors (52794).

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

25830 is a wasteful number, since it uses less digits than its factorization.

25830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 25830 is about 160.7171428317. The cubic root of 25830 is about 29.5602522252.

It can be divided in two parts, 2 and 5830, that added together give a cube (5832 = 18³).

The spelling of 25830 in words is "twenty-five thousand, eight hundred thirty".