252961 has 4 divisors (see below), whose sum is σ = 255024. Its totient is φ = 250900.

The previous prime is 252949. The next prime is 252971. The reversal of 252961 is 169252.

252961 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 252961 - 2⁹ = 252449 is a prime.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (252911) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 835 + ... + 1096.

It is an arithmetic number, because the mean of its divisors is an integer number (63756).

2²⁵²⁹⁶¹ is an apocalyptic number.

It is an amenable number.

252961 is a deficient number, since it is larger than the sum of its proper divisors (2063).

252961 is a wasteful number, since it uses less digits than its factorization.

252961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2062.

The product of its digits is 1080, while the sum is 25.

The square root of 252961 is about 502.9522840191. The cubic root of 252961 is about 63.2437854195.

The spelling of 252961 in words is "two hundred fifty-two thousand, nine hundred sixty-one".