45989 has 2 divisors, whose sum is σ = 45990. Its totient is φ = 45988.

The previous prime is 45979. The next prime is 46021. The reversal of 45989 is 98954.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 24964 + 21025 = 158^2 + 145^2 .

It is a cyclic number.

It is not a de Polignac number, because 45989 - 2¹² = 41893 is a prime.

It is a super-2 number, since 2×45989² = 4229976242, which contains 22 as substring.

It is an Ulam number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 45989.

It is not a weakly prime, because it can be changed into another prime (45949) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 22994 + 22995.

It is an arithmetic number, because the mean of its divisors is an integer number (22995).

2⁴⁵⁹⁸⁹ is an apocalyptic number.

It is an amenable number.

45989 is a deficient number, since it is larger than the sum of its proper divisors (1).

45989 is an equidigital number, since it uses as much as digits as its factorization.

45989 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 12960, while the sum is 35.

The square root of 45989 is about 214.4504604798. The cubic root of 45989 is about 35.8276224298.

Subtracting from 45989 its sum of digits (35), we obtain a palindrome (45954).

The spelling of 45989 in words is "forty-five thousand, nine hundred eighty-nine".