39744125 has 16 divisors (see below), whose sum is σ = 50072880. Its totient is φ = 31492800.

The previous prime is 39744121. The next prime is 39744137. The reversal of 39744125 is 52144793.

It can be written as a sum of positive squares in 8 ways, for example, as 669124 + 39075001 = 818^2 + 6251^2 .

It is not a de Polignac number, because 39744125 - 2² = 39744121 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39744121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12167 + ... + 15083.

It is an arithmetic number, because the mean of its divisors is an integer number (3129555).

Almost surely, 2^39744125 is an apocalyptic number.

It is an amenable number.

39744125 is a deficient number, since it is larger than the sum of its proper divisors (10328755).

39744125 is a wasteful number, since it uses less digits than its factorization.

39744125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3041 (or 3031 counting only the distinct ones).

The product of its digits is 30240, while the sum is 35.

The square root of 39744125 is about 6304.2941714358. The cubic root of 39744125 is about 341.2643953549.

The spelling of 39744125 in words is "thirty-nine million, seven hundred forty-four thousand, one hundred twenty-five".