65037 has 16 divisors (see below), whose sum is σ = 104960. Its totient is φ = 34992.

The previous prime is 65033. The next prime is 65053. The reversal of 65037 is 73056.

It is not a de Polignac number, because 65037 - 2² = 65033 is a prime.

It is a super-2 number, since 2×65037² = 8459622738, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Duffinian number.

65037 is a lucky number.

It is a plaindrome in base 13.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 65037.

It is not an unprimeable number, because it can be changed into a prime (65033) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 318 + ... + 480.

It is an arithmetic number, because the mean of its divisors is an integer number (6560).

2⁶⁵⁰³⁷ is an apocalyptic number.

It is an amenable number.

65037 is a deficient number, since it is larger than the sum of its proper divisors (39923).

65037 is a wasteful number, since it uses less digits than its factorization.

65037 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192.

The product of its (nonzero) digits is 630, while the sum is 21.

The square root of 65037 is about 255.0235283263. The cubic root of 65037 is about 40.2148852082.

The spelling of 65037 in words is "sixty-five thousand, thirty-seven".