45981585 has 48 divisors (see below), whose sum is σ = 86958144. Its totient is φ = 22340736.

The previous prime is 45981571. The next prime is 45981619. The reversal of 45981585 is 58518954.

It is a happy number.

45981585 is a `hidden beast` number, since 4 + 598 + 1 + 58 + 5 = 666.

It is not a de Polignac number, because 45981585 - 2⁵ = 45981553 is a prime.

It is a super-2 number, since 2×45981585² = 4228612318224450, which contains 22 as substring.

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

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 45981585.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48082 + ... + 49028.

It is an arithmetic number, because the mean of its divisors is an integer number (1811628).

Almost surely, 2^45981585 is an apocalyptic number.

45981585 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

45981585 is a deficient number, since it is larger than the sum of its proper divisors (40976559).

45981585 is a wasteful number, since it uses less digits than its factorization.

45981585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1054 (or 1051 counting only the distinct ones).

The product of its digits is 288000, while the sum is 45.

The square root of 45981585 is about 6780.9722754189. The cubic root of 45981585 is about 358.2569678021.

The spelling of 45981585 in words is "forty-five million, nine hundred eighty-one thousand, five hundred eighty-five".