38204761 has 9 divisors (see below), whose sum is σ = 44492661. Its totient is φ = 32709852.

The previous prime is 38204759. The next prime is 38204773. The reversal of 38204761 is 16740283.

The square root of 38204761 is 6181.

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

It is not a de Polignac number, because 38204761 - 2¹ = 38204759 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (38204701) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 42826 + ... + 43708.

It is an arithmetic number, because the mean of its divisors is an integer number (4943629).

Almost surely, 2^38204761 is an apocalyptic number.

38204761 is the 6181-st square number.

38204761 is the 3091-st centered octagonal number.

It is an amenable number.

38204761 is a deficient number, since it is larger than the sum of its proper divisors (6287900).

38204761 is an frugal number, since it uses more digits than its factorization.

38204761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1780 (or 890 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The cubic root of 38204761 is about 336.8003202087.

The spelling of 38204761 in words is "thirty-eight million, two hundred four thousand, seven hundred sixty-one".