65970 has 24 divisors (see below), whose sum is σ = 171756. Its totient is φ = 17568.

The previous prime is 65963. The next prime is 65981. The reversal of 65970 is 7956.

65970 is a `hidden beast` number, since 659 + 7 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 62001 + 3969 = 249^2 + 63^2 .

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 277 + ... + 456.

2⁶⁵⁹⁷⁰ is an apocalyptic number.

65970 is an abundant number, since it is smaller than the sum of its proper divisors (105786).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85878).

65970 is a wasteful number, since it uses less digits than its factorization.

65970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 746 (or 743 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 65970 is about 256.8462575160. The cubic root of 65970 is about 40.4062761873.

It can be divided in two parts, 659 and 70, that added together give a 6-th power (729 = 3⁶).

The spelling of 65970 in words is "sixty-five thousand, nine hundred seventy".