45954 has 32 divisors (see below), whose sum is σ = 109440. Its totient is φ = 14256.

The previous prime is 45953. The next prime is 45959.

45954 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×45954² = 4223540232, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a plaindrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (45953) 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 15 ways as a sum of consecutive naturals, for example, 1224 + ... + 1260.

It is an arithmetic number, because the mean of its divisors is an integer number (3420).

2⁴⁵⁹⁵⁴ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45954, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54720).

45954 is an abundant number, since it is smaller than the sum of its proper divisors (63486).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

45954 is a wasteful number, since it uses less digits than its factorization.

45954 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 65 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 45954 is about 214.3688410194. The cubic root of 45954 is about 35.8185312339.

It can be divided in two parts, 45 and 954, that added together give a palindrome (999).

The spelling of 45954 in words is "forty-five thousand, nine hundred fifty-four".