84009057 has 32 divisors (see below), whose sum is σ = 126905856. Its totient is φ = 48988800.

The previous prime is 84009049. The next prime is 84009067. The reversal of 84009057 is 75090048.

It is not a de Polignac number, because 84009057 - 2³ = 84009049 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (84009007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 103182 + ... + 103992.

It is an arithmetic number, because the mean of its divisors is an integer number (3965808).

Almost surely, 2^84009057 is an apocalyptic number.

It is an amenable number.

84009057 is a deficient number, since it is larger than the sum of its proper divisors (42896799).

84009057 is a wasteful number, since it uses less digits than its factorization.

84009057 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 941.

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 84009057 is about 9165.6454764517. The cubic root of 84009057 is about 437.9676536234.

The spelling of 84009057 in words is "eighty-four million, nine thousand, fifty-seven".