45638353 has 16 divisors (see below), whose sum is σ = 50602320. Its totient is φ = 41004288.

The previous prime is 45638347. The next prime is 45638357. The reversal of 45638353 is 35383654.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 12552849 + 33085504 = 3543^2 + 5752^2 .

It is not a de Polignac number, because 45638353 - 2⁹ = 45637841 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (45638357) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 861075 + ... + 861127.

It is an arithmetic number, because the mean of its divisors is an integer number (3162645).

Almost surely, 2^45638353 is an apocalyptic number.

It is an amenable number.

45638353 is a deficient number, since it is larger than the sum of its proper divisors (4963967).

45638353 is an frugal number, since it uses more digits than its factorization.

45638353 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 107 counting only the distinct ones).

The product of its digits is 129600, while the sum is 37.

The square root of 45638353 is about 6755.6164041485. The cubic root of 45638353 is about 357.3633311360.

It can be divided in two parts, 456 and 38353, that added together give a square (38809 = 197²).

The spelling of 45638353 in words is "forty-five million, six hundred thirty-eight thousand, three hundred fifty-three".