25971 has 8 divisors (see below), whose sum is σ = 37824. Its totient is φ = 15720.

The previous prime is 25969. The next prime is 25981. The reversal of 25971 is 17952.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 25971 - 2¹ = 25969 is a prime.

25971 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (25931) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 361 + ... + 426.

It is an arithmetic number, because the mean of its divisors is an integer number (4728).

2²⁵⁹⁷¹ is an apocalyptic number.

25971 is a deficient number, since it is larger than the sum of its proper divisors (11853).

25971 is a wasteful number, since it uses less digits than its factorization.

25971 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 801.

The product of its digits is 630, while the sum is 24.

The square root of 25971 is about 161.1552046941. The cubic root of 25971 is about 29.6139421780.

The spelling of 25971 in words is "twenty-five thousand, nine hundred seventy-one".