585413997 has 64 divisors (see below), whose sum is σ = 971520000. Its totient is φ = 306125568.

The previous prime is 585413987. The next prime is 585414017. The reversal of 585413997 is 799314585.

It is not a de Polignac number, because 585413997 - 2⁷ = 585413869 is a prime.

Its product of digits (1360800) is a multiple of the sum of its prime divisors (450).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (585413977) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2556279 + ... + 2556507.

It is an arithmetic number, because the mean of its divisors is an integer number (15180000).

Almost surely, 2^585413997 is an apocalyptic number.

585413997 is a gapful number since it is divisible by the number (57) formed by its first and last digit.

It is an amenable number.

585413997 is a deficient number, since it is larger than the sum of its proper divisors (386106003).

585413997 is a wasteful number, since it uses less digits than its factorization.

585413997 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450.

The product of its digits is 1360800, while the sum is 51.

The square root of 585413997 is about 24195.3300659445. The cubic root of 585413997 is about 836.5419043467.

The spelling of 585413997 in words is "five hundred eighty-five million, four hundred thirteen thousand, nine hundred ninety-seven".