25000 has 24 divisors (see below), whose sum is σ = 58590. Its totient is φ = 10000.

The previous prime is 24989. The next prime is 25013. The reversal of 25000 is 52.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 3 ways, for example, as 36 + 24964 = 6^2 + 158^2 .

It is a sliding number, since 25000 = 5000 + 20000 and 1/5000 + 1/20000 = 0.00025000.

It is a hoax number, since the sum of its digits (7) coincides with the sum of the digits of its distinct prime factors.

It is an Ulam number.

It is an enlightened number because it begins with the concatenation of its prime factors (25).

It is an unprimeable number.

25000 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 5 ways as a sum of consecutive naturals, for example, 4998 + ... + 5002.

2^{25000} is an apocalyptic number.

25000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29295).

25000 is an abundant number, since it is smaller than the sum of its proper divisors (33590).

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

25000 is an frugal number, since it uses more digits than its factorization.

25000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31 (or 7 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 7.

The square root of 25000 is about 158.1138830084. The cubic root of 25000 is about 29.2401773821.

Multiplying 25000 by its product of nonzero digits (10), we get a square (250000 = 500^{2}).

25000 divided by its product of nonzero digits (10) gives a square (2500 = 50^{2}).

Adding to 25000 its reverse (52), we get a palindrome (25052).

It can be divided in two parts, 2 and 5000, that multiplied together give a 4-th power (10000 = 10^{4}).

The spelling of 25000 in words is "twenty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 625 1000 1250 2500 3125 5000 6250 12500 25000

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