39401 has 6 divisors (see below), whose sum is σ = 41706. Its totient is φ = 37200.

The previous prime is 39397. The next prime is 39409. The reversal of 39401 is 10493.

It can be written as a sum of positive squares in only one way, i.e., 24025 + 15376 = 155^2 + 124^2 .

It is not a de Polignac number, because 39401 - 2² = 39397 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 39401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39409) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 941 + ... + 981.

It is an arithmetic number, because the mean of its divisors is an integer number (6951).

2³⁹⁴⁰¹ is an apocalyptic number.

39401 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

39401 is a deficient number, since it is larger than the sum of its proper divisors (2305).

39401 is an equidigital number, since it uses as much as digits as its factorization.

39401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 39401 is about 198.4968513604. The cubic root of 39401 is about 34.0279470336.

Subtracting from 39401 its product of nonzero digits (108), we obtain a palindrome (39293).

Adding to 39401 its reverse (10493), we get a palindrome (49894).

It can be divided in two parts, 3 and 9401, that multiplied together give a triangular number (28203 = T₂₃₇).

The spelling of 39401 in words is "thirty-nine thousand, four hundred one".