252161 has 16 divisors (see below), whose sum is σ = 330624. Its totient is φ = 186624.

The previous prime is 252157. The next prime is 252163. The reversal of 252161 is 161252.

252161 is nontrivially palindromic in base 6.

It is a cyclic number.

It is not a de Polignac number, because 252161 - 2² = 252157 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

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

252161 is a Rhonda number in base 6.

It is a Curzon number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 252161.

It is not an unprimeable number, because it can be changed into a prime (252163) 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, 1466 + ... + 1628.

It is an arithmetic number, because the mean of its divisors is an integer number (20664).

2²⁵²¹⁶¹ is an apocalyptic number.

It is an amenable number.

252161 is a deficient number, since it is larger than the sum of its proper divisors (78463).

252161 is a wasteful number, since it uses less digits than its factorization.

252161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200.

The product of its digits is 120, while the sum is 17.

The square root of 252161 is about 502.1563501540. The cubic root of 252161 is about 63.1770446195.

Subtracting from 252161 its reverse (161252), we obtain a palindrome (90909).

The spelling of 252161 in words is "two hundred fifty-two thousand, one hundred sixty-one".