25416 has 24 divisors (see below), whose sum is σ = 69030. Its totient is φ = 8448.

The previous prime is 25411. The next prime is 25423. The reversal of 25416 is 61452.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 22500 + 2916 = 150^2 + 54^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an alternating number because its digits alternate between even and odd.

It is a nialpdrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (25411) by changing a digit.

25416 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 5 ways as a sum of consecutive naturals, for example, 105 + ... + 248.

2²⁵⁴¹⁶ is an apocalyptic number.

It is an amenable number.

25416 is an abundant number, since it is smaller than the sum of its proper divisors (43614).

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

25416 is a wasteful number, since it uses less digits than its factorization.

25416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 358 counting only the distinct ones).

The product of its digits is 240, while the sum is 18.

The square root of 25416 is about 159.4239630670. The cubic root of 25416 is about 29.4014715354.

Adding to 25416 its reverse (61452), we get a palindrome (86868).

It can be divided in two parts, 25 and 416, that added together give a square (441 = 21²).

The spelling of 25416 in words is "twenty-five thousand, four hundred sixteen".