39601 has 3 divisors (see below), whose sum is σ = 39801. Its totient is φ = 39402.

The previous prime is 39581. The next prime is 39607. The reversal of 39601 is 10693.

39601 = T_{198} + T_{199}.

The square root of 39601 is 199.

It is a perfect power (a square), and thus also a powerful number.

39601 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It is not a de Polignac number, because 39601 - 2^{5} = 39569 is a prime.

It is a hoax number, since the sum of its digits (19) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (39607) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 100 + ... + 298.

It is an arithmetic number, because the mean of its divisors is an integer number (13267).

2^{39601} is an apocalyptic number.

39601 is the 199-th square number.

39601 is the 100-th centered octagonal number.

It is an amenable number.

39601 is a deficient number, since it is larger than the sum of its proper divisors (200).

39601 is an frugal number, since it uses more digits than its factorization.

39601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 19.

The cubic root of 39601 is about 34.0854253267.

It can be divided in two parts, 3 and 9601, that added together give a square (9604 = 98^{2}).

The spelling of 39601 in words is "thirty-nine thousand, six hundred one".

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