38624057 has 2 divisors, whose sum is σ = 38624058. Its totient is φ = 38624056.

The previous prime is 38624021. The next prime is 38624063. The reversal of 38624057 is 75042683.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 37222201 + 1401856 = 6101^2 + 1184^2 .

It is an emirp because it is prime and its reverse (75042683) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 38624057 - 2⁶ = 38623993 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (38624557) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 19312028 + 19312029.

It is an arithmetic number, because the mean of its divisors is an integer number (19312029).

Almost surely, 2^38624057 is an apocalyptic number.

It is an amenable number.

38624057 is a deficient number, since it is larger than the sum of its proper divisors (1).

38624057 is an equidigital number, since it uses as much as digits as its factorization.

38624057 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 40320, while the sum is 35.

The square root of 38624057 is about 6214.8255808188. The cubic root of 38624057 is about 338.0279641441.

The spelling of 38624057 in words is "thirty-eight million, six hundred twenty-four thousand, fifty-seven".