45688005 has 48 divisors (see below), whose sum is σ = 90170496. Its totient is φ = 21183360.

The previous prime is 45688001. The next prime is 45688009. The reversal of 45688005 is 50088654.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (45688001) and next prime (45688009).

It is not a de Polignac number, because 45688005 - 2² = 45688001 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45688001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9379 + ... + 13391.

It is an arithmetic number, because the mean of its divisors is an integer number (1878552).

Almost surely, 2^45688005 is an apocalyptic number.

45688005 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

45688005 is a deficient number, since it is larger than the sum of its proper divisors (44482491).

45688005 is a wasteful number, since it uses less digits than its factorization.

45688005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4058 (or 4055 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 45688005 is about 6759.2902733941. The cubic root of 45688005 is about 357.4928813357.

The spelling of 45688005 in words is "forty-five million, six hundred eighty-eight thousand, five".