45890 has 16 divisors (see below), whose sum is σ = 89208. Its totient is φ = 16896.

The previous prime is 45887. The next prime is 45893. The reversal of 45890 is 9854.

It is an interprime number because it is at equal distance from previous prime (45887) and next prime (45893).

It can be written as a sum of positive squares in 4 ways, for example, as 26569 + 19321 = 163^2 + 139^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (45893) 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, 47 + ... + 306.

2⁴⁵⁸⁹⁰ is an apocalyptic number.

45890 is a deficient number, since it is larger than the sum of its proper divisors (43318).

45890 is a wasteful number, since it uses less digits than its factorization.

45890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373.

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 45890 is about 214.2195135836. The cubic root of 45890 is about 35.8018953877.

The spelling of 45890 in words is "forty-five thousand, eight hundred ninety".