45837661 has 16 divisors (see below), whose sum is σ = 50727600. Its totient is φ = 41223168.

The previous prime is 45837647. The next prime is 45837679. The reversal of 45837661 is 16673854.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 4761 + 45832900 = 69^2 + 6770^2 .

It is a cyclic number.

It is not a de Polignac number, because 45837661 - 2⁹ = 45837149 is a prime.

It is a Duffinian number.

Its product of digits (120960) is a multiple of the sum of its prime divisors (1008).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45837601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53311 + ... + 54163.

It is an arithmetic number, because the mean of its divisors is an integer number (3170475).

Almost surely, 2^45837661 is an apocalyptic number.

It is an amenable number.

45837661 is a deficient number, since it is larger than the sum of its proper divisors (4889939).

45837661 is a wasteful number, since it uses less digits than its factorization.

45837661 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1008.

The product of its digits is 120960, while the sum is 40.

The square root of 45837661 is about 6770.3516156844. The cubic root of 45837661 is about 357.8827914421.

The spelling of 45837661 in words is "forty-five million, eight hundred thirty-seven thousand, six hundred sixty-one".