45735257 has 2 divisors, whose sum is σ = 45735258. Its totient is φ = 45735256.

The previous prime is 45735229. The next prime is 45735269. The reversal of 45735257 is 75253754.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 33825856 + 11909401 = 5816^2 + 3451^2 .

It is a cyclic number.

It is not a de Polignac number, because 45735257 - 2¹⁶ = 45669721 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 45735257.

It is not a weakly prime, because it can be changed into another prime (45735227) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 22867628 + 22867629.

It is an arithmetic number, because the mean of its divisors is an integer number (22867629).

Almost surely, 2^45735257 is an apocalyptic number.

It is an amenable number.

45735257 is a deficient number, since it is larger than the sum of its proper divisors (1).

45735257 is an equidigital number, since it uses as much as digits as its factorization.

45735257 is an evil number, because the sum of its binary digits is even.

The product of its digits is 147000, while the sum is 38.

The square root of 45735257 is about 6762.7847075003. The cubic root of 45735257 is about 357.6160824069.

The spelling of 45735257 in words is "forty-five million, seven hundred thirty-five thousand, two hundred fifty-seven".