25738 has 8 divisors (see below), whose sum is σ = 40932. Its totient is φ = 12096.

The previous prime is 25733. The next prime is 25741. The reversal of 25738 is 83752.

It can be written as a sum of positive squares in 2 ways, for example, as 24649 + 1089 = 157^2 + 33^2 .

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

It is not an unprimeable number, because it can be changed into a prime (25733) by changing a digit.

25738 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 3 ways as a sum of consecutive naturals, for example, 345 + ... + 412.

2²⁵⁷³⁸ is an apocalyptic number.

25738 is a deficient number, since it is larger than the sum of its proper divisors (15194).

25738 is a wasteful number, since it uses less digits than its factorization.

25738 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 776.

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

The square root of 25738 is about 160.4306703844. The cubic root of 25738 is about 29.5251150671.

It can be divided in two parts, 2 and 5738, that multiplied together give a triangular number (11476 = T₁₅₁).

The spelling of 25738 in words is "twenty-five thousand, seven hundred thirty-eight".