25749 has 6 divisors (see below), whose sum is σ = 37206. Its totient is φ = 17160.

The previous prime is 25747. The next prime is 25759. The reversal of 25749 is 94752.

It can be written as a sum of positive squares in only one way, i.e., 22500 + 3249 = 150^2 + 57^2 .

It is not a de Polignac number, because 25749 - 2¹ = 25747 is a prime.

It is a super-2 number, since 2×25749² = 1326022002, which contains 22 as substring.

It is a d-powerful number, because it can be written as 2¹³ + 5 + 7⁵ + 4² + 9³ .

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1422 + ... + 1439.

It is an arithmetic number, because the mean of its divisors is an integer number (6201).

2²⁵⁷⁴⁹ is an apocalyptic number.

It is an amenable number.

25749 is a deficient number, since it is larger than the sum of its proper divisors (11457).

25749 is a wasteful number, since it uses less digits than its factorization.

25749 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2867 (or 2864 counting only the distinct ones).

The product of its digits is 2520, while the sum is 27.

The square root of 25749 is about 160.4649494438. The cubic root of 25749 is about 29.5293206516.

The spelling of 25749 in words is "twenty-five thousand, seven hundred forty-nine".