39261 has 8 divisors (see below), whose sum is σ = 54720. Its totient is φ = 24992.

The previous prime is 39251. The next prime is 39293. The reversal of 39261 is 16293.

39261 is nontrivially palindromic in base 13.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 39261 - 2⁵ = 39229 is a prime.

It is a super-2 number, since 2×39261² = 3082852242, which contains 22 as substring.

It is a nialpdrome in base 15.

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 39261.

It is not an unprimeable number, because it can be changed into a prime (39241) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 216 + ... + 353.

It is an arithmetic number, because the mean of its divisors is an integer number (6840).

2³⁹²⁶¹ is an apocalyptic number.

It is an amenable number.

39261 is a deficient number, since it is larger than the sum of its proper divisors (15459).

39261 is a wasteful number, since it uses less digits than its factorization.

39261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 595.

The product of its digits is 324, while the sum is 21.

The square root of 39261 is about 198.1438871124. The cubic root of 39261 is about 33.9875963983.

It can be divided in two parts, 39 and 261, that added together give a triangular number (300 = T₂₄).

The spelling of 39261 in words is "thirty-nine thousand, two hundred sixty-one".