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24972 = 2232081

24972 has 12 divisors (see below), whose sum is σ = 58296. Its totient is φ = 8320.

The previous prime is 24971. The next prime is 24977. The reversal of 24972 is 27942.

It can be divided in two parts, 2497 and 2, that multiplied together give a palindrome (4994).

It is a tau number, because it is divible by the number of its divisors (12).

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (24971) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1029 + ... + 1052.

It is an arithmetic number, because the mean of its divisors is an integer number (4858).

24972 is a Friedman number, since it can be written as 4*(79^2+2), using all its digits and the basic arithmetic operations.

224972 is an apocalyptic number.

It is an amenable number.

24972 is an abundant number, since it is smaller than the sum of its proper divisors (33324).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29148).

24972 is a wasteful number, since it uses less digits than its factorization.

24972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2088 (or 2086 counting only the distinct ones).

The product of its digits is 1008, while the sum is 24.

The square root of 24972 is about 158.0253144278. The cubic root of 24972 is about 29.2292569713.

The spelling of 24972 in words is "twenty-four thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 12 2081 4162 6243 8324 12486 24972