57834405 has 40 divisors (see below), whose sum is σ = 105418104. Its totient is φ = 30326400.

The previous prime is 57834401. The next prime is 57834409. The reversal of 57834405 is 50443875.

57834405 = T₄₅₇ + T₄₅₈ + ... + T₇₆₁.

It is an interprime number because it is at equal distance from previous prime (57834401) and next prime (57834409).

It can be written as a sum of positive squares in 4 ways, for example, as 544644 + 57289761 = 738^2 + 7569^2 .

It is not a de Polignac number, because 57834405 - 2² = 57834401 is a prime.

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 57834405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57834401) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 23535 + ... + 25875.

Almost surely, 2^57834405 is an apocalyptic number.

It is an amenable number.

57834405 is a deficient number, since it is larger than the sum of its proper divisors (47583699).

57834405 is a wasteful number, since it uses less digits than its factorization.

57834405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2419 (or 2410 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 57834405 is about 7604.8934903784. The cubic root of 57834405 is about 386.7189233608.

The spelling of 57834405 in words is "fifty-seven million, eight hundred thirty-four thousand, four hundred five".