45928961 has 6 divisors (see below), whose sum is σ = 49733910. Its totient is φ = 42395808.

The previous prime is 45928943. The next prime is 45928973. The reversal of 45928961 is 16982954.

45928961 = 10² + 11² + ... + 516².

It can be written as a sum of positive squares in 3 ways, for example, as 4648336 + 41280625 = 2156^2 + 6425^2 .

It is not a de Polignac number, because 45928961 - 2²² = 41734657 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (45928901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 135716 + ... + 136053.

It is an arithmetic number, because the mean of its divisors is an integer number (8288985).

Almost surely, 2^45928961 is an apocalyptic number.

It is an amenable number.

45928961 is a deficient number, since it is larger than the sum of its proper divisors (3804949).

45928961 is a wasteful number, since it uses less digits than its factorization.

45928961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271795 (or 271782 counting only the distinct ones).

The product of its digits is 155520, while the sum is 44.

The square root of 45928961 is about 6777.0908950670. The cubic root of 45928961 is about 358.1202455949.

The spelling of 45928961 in words is "forty-five million, nine hundred twenty-eight thousand, nine hundred sixty-one".