325416 has 64 divisors (see below), whose sum is σ = 1008000. Its totient is φ = 85248.

The previous prime is 325411. The next prime is 325421. The reversal of 325416 is 614523.

325416 = T₈ + T₉ + ... + T₁₂₄.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (325411) and next prime (325421).

It is a Harshad number since it is a multiple of its sum of digits (21).

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

It is a junction number, because it is equal to n+sod(n) for n = 325392 and 325401.

It is not an unprimeable number, because it can be changed into a prime (325411) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2110 + ... + 2258.

It is an arithmetic number, because the mean of its divisors is an integer number (15750).

2³²⁵⁴¹⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 325416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504000).

325416 is an abundant number, since it is smaller than the sum of its proper divisors (682584).

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

325416 is a wasteful number, since it uses less digits than its factorization.

325416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 174 counting only the distinct ones).

The product of its digits is 720, while the sum is 21.

The square root of 325416 is about 570.4524520063. The cubic root of 325416 is about 68.7827656489.

Adding to 325416 its reverse (614523), we get a palindrome (939939).

It can be divided in two parts, 325 and 416, that added together give a triangular number (741 = T₃₈).

The spelling of 325416 in words is "three hundred twenty-five thousand, four hundred sixteen".