66952 has 8 divisors (see below), whose sum is σ = 125550. Its totient is φ = 33472.

The previous prime is 66949. The next prime is 66959. The reversal of 66952 is 25966.

It can be written as a sum of positive squares in only one way, i.e., 51076 + 15876 = 226^2 + 126^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 66952.

It is not an unprimeable number, because it can be changed into a prime (66959) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4177 + ... + 4192.

2⁶⁶⁹⁵² is an apocalyptic number.

It is an amenable number.

66952 is a deficient number, since it is larger than the sum of its proper divisors (58598).

66952 is a wasteful number, since it uses less digits than its factorization.

66952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8375 (or 8371 counting only the distinct ones).

The product of its digits is 3240, while the sum is 28.

The square root of 66952 is about 258.7508454092. The cubic root of 66952 is about 40.6057794680.

The spelling of 66952 in words is "sixty-six thousand, nine hundred fifty-two".