45936257 has 2 divisors, whose sum is σ = 45936258. Its totient is φ = 45936256.

The previous prime is 45936251. The next prime is 45936259. The reversal of 45936257 is 75263954.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 23049601 + 22886656 = 4801^2 + 4784^2 .

It is a cyclic number.

It is not a de Polignac number, because 45936257 - 2²⁰ = 44887681 is a prime.

It is a super-2 number, since 2×45936257² = 4220279414340098, which contains 22 as substring.

Together with 45936259, 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 (45936251) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 22968128 + 22968129.

It is an arithmetic number, because the mean of its divisors is an integer number (22968129).

Almost surely, 2^45936257 is an apocalyptic number.

It is an amenable number.

45936257 is a deficient number, since it is larger than the sum of its proper divisors (1).

45936257 is an equidigital number, since it uses as much as digits as its factorization.

45936257 is an evil number, because the sum of its binary digits is even.

The product of its digits is 226800, while the sum is 41.

The square root of 45936257 is about 6777.6291577513. The cubic root of 45936257 is about 358.1392075376.

The spelling of 45936257 in words is "forty-five million, nine hundred thirty-six thousand, two hundred fifty-seven".