65007 has 12 divisors (see below), whose sum is σ = 97344. Its totient is φ = 41760.

The previous prime is 65003. The next prime is 65011. The reversal of 65007 is 70056.

It is an interprime number because it is at equal distance from previous prime (65003) and next prime (65011).

It is not a de Polignac number, because 65007 - 2² = 65003 is a prime.

It is a Smith number, since the sum of its digits (18) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65003) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 163 + ... + 395.

It is an arithmetic number, because the mean of its divisors is an integer number (8112).

2⁶⁵⁰⁰⁷ is an apocalyptic number.

65007 is a deficient number, since it is larger than the sum of its proper divisors (32337).

65007 is a wasteful number, since it uses less digits than its factorization.

65007 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 65007 is about 254.9647034395. The cubic root of 65007 is about 40.2087008715.

Adding to 65007 its sum of digits (18), we get a square (65025 = 255²).

The spelling of 65007 in words is "sixty-five thousand, seven".