25837 has 4 divisors (see below), whose sum is σ = 29536. Its totient is φ = 22140.

The previous prime is 25819. The next prime is 25841. The reversal of 25837 is 73852.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 25837 - 2¹¹ = 23789 is a prime.

It is a Duffinian number.

25837 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25847) 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, 1839 + ... + 1852.

It is an arithmetic number, because the mean of its divisors is an integer number (7384).

2²⁵⁸³⁷ is an apocalyptic number.

It is an amenable number.

25837 is a deficient number, since it is larger than the sum of its proper divisors (3699).

25837 is an equidigital number, since it uses as much as digits as its factorization.

25837 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3698.

The product of its digits is 1680, while the sum is 25.

The square root of 25837 is about 160.7389187471. The cubic root of 25837 is about 29.5629222869.

It can be divided in two parts, 2583 and 7, that multiplied together give a palindrome (18081).

The spelling of 25837 in words is "twenty-five thousand, eight hundred thirty-seven".