45257 has 4 divisors (see below), whose sum is σ = 45696. Its totient is φ = 44820.

The previous prime is 45247. The next prime is 45259. The reversal of 45257 is 75254.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also a brilliant number, because the two primes have the same length.

It is a cyclic number.

It is not a de Polignac number, because 45257 - 2¹² = 41161 is a prime.

It is a Duffinian number.

It is a plaindrome in base 12.

It is a nialpdrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (45259) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 32 + ... + 302.

It is an arithmetic number, because the mean of its divisors is an integer number (11424).

2⁴⁵²⁵⁷ is an apocalyptic number.

It is an amenable number.

45257 is a deficient number, since it is larger than the sum of its proper divisors (439).

45257 is a wasteful number, since it uses less digits than its factorization.

45257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438.

The product of its digits is 1400, while the sum is 23.

The square root of 45257 is about 212.7369267429. The cubic root of 45257 is about 35.6365172570.

The spelling of 45257 in words is "forty-five thousand, two hundred fifty-seven".