38465 has 12 divisors (see below), whose sum is σ = 54036. Its totient is φ = 26208.

The previous prime is 38461. The next prime is 38501. The reversal of 38465 is 56483.

It can be written as a sum of positive squares in 2 ways, for example, as 12544 + 25921 = 112^2 + 161^2 .

It is not a de Polignac number, because 38465 - 2² = 38461 is a prime.

It is a super-3 number, since 3×38465³ = 170733390583875, which contains 333 as substring.

It is a Duffinian number.

It is a plaindrome in base 11 and base 13.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (38461) 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, 167 + ... + 323.

It is an arithmetic number, because the mean of its divisors is an integer number (4503).

2³⁸⁴⁶⁵ is an apocalyptic number.

38465 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

38465 is a deficient number, since it is larger than the sum of its proper divisors (15571).

38465 is a wasteful number, since it uses less digits than its factorization.

38465 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 169 counting only the distinct ones).

The product of its digits is 2880, while the sum is 26.

The square root of 38465 is about 196.1249601657. The cubic root of 38465 is about 33.7563316882.

The spelling of 38465 in words is "thirty-eight thousand, four hundred sixty-five".