15414 has 16 divisors (see below), whose sum is σ = 35328. Its totient is φ = 4392.

The previous prime is 15413. The next prime is 15427. The reversal of 15414 is 41451.

It is a super-3 number, since 3×15414³ = 10986701333832, which contains 333 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 15393 and 15402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15413) 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, 142 + ... + 225.

It is an arithmetic number, because the mean of its divisors is an integer number (2208).

2¹⁵⁴¹⁴ is an apocalyptic number.

15414 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

15414 is an abundant number, since it is smaller than the sum of its proper divisors (19914).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17664).

15414 is a wasteful number, since it uses less digits than its factorization.

15414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379.

The product of its digits is 80, while the sum is 15.

The square root of 15414 is about 124.1531312533. The cubic root of 15414 is about 24.8869562818.

Adding to 15414 its reverse (41451), we get a palindrome (56865).

The spelling of 15414 in words is "fifteen thousand, four hundred fourteen".