45948521 has 2 divisors, whose sum is σ = 45948522. Its totient is φ = 45948520.

The previous prime is 45948493. The next prime is 45948523. The reversal of 45948521 is 12584954.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 39000025 + 6948496 = 6245^2 + 2636^2 .

It is a cyclic number.

It is not a de Polignac number, because 45948521 - 2²² = 41754217 is a prime.

It is a super-2 number, since 2×45948521² = 4222533164174882, which contains 22 as substring.

Together with 45948523, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (45948523) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 22974260 + 22974261.

It is an arithmetic number, because the mean of its divisors is an integer number (22974261).

Almost surely, 2^45948521 is an apocalyptic number.

It is an amenable number.

45948521 is a deficient number, since it is larger than the sum of its proper divisors (1).

45948521 is an equidigital number, since it uses as much as digits as its factorization.

45948521 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 57600, while the sum is 38.

The square root of 45948521 is about 6778.5338385229. The cubic root of 45948521 is about 358.1710765427.

The spelling of 45948521 in words is "forty-five million, nine hundred forty-eight thousand, five hundred twenty-one".