252966 has 32 divisors (see below), whose sum is σ = 610560. Its totient is φ = 68256.

The previous prime is 252949. The next prime is 252971. The reversal of 252966 is 669252.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 640 + ... + 956.

It is an arithmetic number, because the mean of its divisors is an integer number (19080).

2²⁵²⁹⁶⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305280).

252966 is an abundant number, since it is smaller than the sum of its proper divisors (357594).

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

252966 is a wasteful number, since it uses less digits than its factorization.

252966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348.

The product of its digits is 6480, while the sum is 30.

The square root of 252966 is about 502.9572546450. The cubic root of 252966 is about 63.2442021067.

The spelling of 252966 in words is "two hundred fifty-two thousand, nine hundred sixty-six".