45965972 has 36 divisors (see below), whose sum is σ = 88127676. Its totient is φ = 20966400.

The previous prime is 45965971. The next prime is 45965987. The reversal of 45965972 is 27956954.

45965972 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 2062096 + 43903876 = 1436^2 + 6626^2 .

It is a super-2 number, since 2×45965972² = 4225741163809568, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45965971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 65222 + ... + 65922.

It is an arithmetic number, because the mean of its divisors is an integer number (2447991).

Almost surely, 2^45965972 is an apocalyptic number.

It is an amenable number.

45965972 is a deficient number, since it is larger than the sum of its proper divisors (42161704).

45965972 is a wasteful number, since it uses less digits than its factorization.

45965972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 828 (or 813 counting only the distinct ones).

The product of its digits is 680400, while the sum is 47.

The square root of 45965972 is about 6779.8209415884. The cubic root of 45965972 is about 358.2164146166.

The spelling of 45965972 in words is "forty-five million, nine hundred sixty-five thousand, nine hundred seventy-two".