57129993 has 24 divisors (see below), whose sum is σ = 86102016. Its totient is φ = 36460800.

The previous prime is 57129983. The next prime is 57130001. The reversal of 57129993 is 39992175.

It is a happy number.

It is not a de Polignac number, because 57129993 - 2²¹ = 55032841 is a prime.

It is a super-2 number, since 2×57129993² = 6527672200360098, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (57129923) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26008 + ... + 28118.

It is an arithmetic number, because the mean of its divisors is an integer number (3587584).

Almost surely, 2^57129993 is an apocalyptic number.

It is an amenable number.

57129993 is a deficient number, since it is larger than the sum of its proper divisors (28972023).

57129993 is a wasteful number, since it uses less digits than its factorization.

57129993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2245 (or 2242 counting only the distinct ones).

The product of its digits is 153090, while the sum is 45.

The square root of 57129993 is about 7558.4385292202. The cubic root of 57129993 is about 385.1424513620.

The spelling of 57129993 in words is "fifty-seven million, one hundred twenty-nine thousand, nine hundred ninety-three".