65945 has 12 divisors (see below), whose sum is σ = 87780. Its totient is φ = 47520.

The previous prime is 65929. The next prime is 65951. The reversal of 65945 is 54956.

65945 = T₄₆ + T₄₇ + ... + T₇₈.

It can be written as a sum of positive squares in 2 ways, for example, as 34969 + 30976 = 187^2 + 176^2 .

It is not a de Polignac number, because 65945 - 2⁴ = 65929 is a prime.

It is a super-3 number, since 3×65945³ = 860333576350875, which contains 333 as substring.

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, 551 + ... + 659.

It is an arithmetic number, because the mean of its divisors is an integer number (7315).

2⁶⁵⁹⁴⁵ is an apocalyptic number.

It is an amenable number.

65945 is a deficient number, since it is larger than the sum of its proper divisors (21835).

65945 is a wasteful number, since it uses less digits than its factorization.

65945 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 125 counting only the distinct ones).

The product of its digits is 5400, while the sum is 29.

The square root of 65945 is about 256.7975856584. The cubic root of 65945 is about 40.4011714198.

It can be divided in two parts, 65 and 945, that multiplied together give a triangular number (61425 = T₃₅₀).

The spelling of 65945 in words is "sixty-five thousand, nine hundred forty-five".