252616 has 32 divisors (see below), whose sum is σ = 584640. Its totient is φ = 99648.

The previous prime is 252611. The next prime is 252617. The reversal of 252616 is 616252.

252616 is nontrivially palindromic in base 3.

It is a nialpdrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (252611) by changing a digit.

252616 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 7 ways as a sum of consecutive naturals, for example, 555 + ... + 901.

It is an arithmetic number, because the mean of its divisors is an integer number (18270).

2²⁵²⁶¹⁶ is an apocalyptic number.

252616 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292320).

252616 is an abundant number, since it is smaller than the sum of its proper divisors (332024).

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

252616 is a wasteful number, since it uses less digits than its factorization.

252616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373 (or 369 counting only the distinct ones).

The product of its digits is 720, while the sum is 22.

The square root of 252616 is about 502.6091921165. The cubic root of 252616 is about 63.2150207314.

Adding to 252616 its reverse (616252), we get a palindrome (868868).

It can be divided in two parts, 252 and 616, that added together give a palindrome (868).

The spelling of 252616 in words is "two hundred fifty-two thousand, six hundred sixteen".