57834765 has 96 divisors (see below), whose sum is σ = 117262080. Its totient is φ = 26155008.

The previous prime is 57834743. The next prime is 57834767. The reversal of 57834765 is 56743875.

57834765 is a `hidden beast` number, since 578 + 3 + 4 + 76 + 5 = 666.

It is not a de Polignac number, because 57834765 - 2¹⁸ = 57572621 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

Its product of digits (705600) is a multiple of the sum of its prime divisors (240).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 57834765.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57834767) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 334219 + ... + 334391.

It is an arithmetic number, because the mean of its divisors is an integer number (1221480).

Almost surely, 2^57834765 is an apocalyptic number.

It is an amenable number.

57834765 is an abundant number, since it is smaller than the sum of its proper divisors (59427315).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

57834765 is a wasteful number, since it uses less digits than its factorization.

57834765 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 240 counting only the distinct ones).

The product of its digits is 705600, while the sum is 45.

The square root of 57834765 is about 7604.9171593121. The cubic root of 57834765 is about 386.7197257582.

The spelling of 57834765 in words is "fifty-seven million, eight hundred thirty-four thousand, seven hundred sixty-five".