38958129 has 48 divisors (see below), whose sum is σ = 67047552. Its totient is φ = 21337344.

The previous prime is 38958109. The next prime is 38958131. The reversal of 38958129 is 92185983.

It is a happy number.

It is not a de Polignac number, because 38958129 - 2⁷ = 38958001 is a prime.

It is not an unprimeable number, because it can be changed into a prime (38958109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 197659 + ... + 197855.

It is an arithmetic number, because the mean of its divisors is an integer number (1396824).

Almost surely, 2^38958129 is an apocalyptic number.

It is an amenable number.

38958129 is a deficient number, since it is larger than the sum of its proper divisors (28089423).

38958129 is a wasteful number, since it uses less digits than its factorization.

38958129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 323 counting only the distinct ones).

The product of its digits is 155520, while the sum is 45.

The square root of 38958129 is about 6241.6447351640. The cubic root of 38958129 is about 338.9997389509. Note that the first 3 decimals are identical.

The spelling of 38958129 in words is "thirty-eight million, nine hundred fifty-eight thousand, one hundred twenty-nine".