45254 has 16 divisors (see below), whose sum is σ = 79056. Its totient is φ = 19360.

The previous prime is 45247. The next prime is 45259.

45254 = T₃₅ + T₃₆ + ... + T₆₇.

It is a happy number.

45254 is nontrivially palindromic in base 10.

It is an Ulam number.

It is an alternating number because its digits alternate between even and odd.

It is a nialpdrome in base 11.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 2654 + ... + 2670.

It is an arithmetic number, because the mean of its divisors is an integer number (4941).

2⁴⁵²⁵⁴ is an apocalyptic number.

45254 is a deficient number, since it is larger than the sum of its proper divisors (33802).

45254 is a wasteful number, since it uses less digits than its factorization.

45254 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52 (or 30 counting only the distinct ones).

The product of its digits is 800, while the sum is 20.

The square root of 45254 is about 212.7298756640. The cubic root of 45254 is about 35.6357298141.

The spelling of 45254 in words is "forty-five thousand, two hundred fifty-four".