39200121 has 9 divisors (see below), whose sum is σ = 56649541. Its totient is φ = 26120892.

The previous prime is 39200111. The next prime is 39200123. The reversal of 39200121 is 12100293.

It is a happy number.

The square root of 39200121 is 6261.

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

39200121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 39200121 - 2¹⁷ = 39069049 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 39200094 and 39200103.

It is not an unprimeable number, because it can be changed into a prime (39200123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 17740 + ... + 19826.

Almost surely, 2^39200121 is an apocalyptic number.

39200121 is the 6261-st square number.

39200121 is the 3131-st centered octagonal number.

It is an amenable number.

39200121 is a deficient number, since it is larger than the sum of its proper divisors (17449420).

39200121 is an frugal number, since it uses more digits than its factorization.

39200121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4180 (or 2090 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The cubic root of 39200121 is about 339.7001999691.

The spelling of 39200121 in words is "thirty-nine million, two hundred thousand, one hundred twenty-one".