45958 has 8 divisors (see below), whose sum is σ = 75240. Its totient is φ = 20880.

The previous prime is 45953. The next prime is 45959. The reversal of 45958 is 85954.

45958 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a super-2 number, since 2×45958² = 4224275528, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45953) by changing a digit.

45958 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1023 + ... + 1066.

It is an arithmetic number, because the mean of its divisors is an integer number (9405).

2⁴⁵⁹⁵⁸ is an apocalyptic number.

45958 is a deficient number, since it is larger than the sum of its proper divisors (29282).

45958 is a wasteful number, since it uses less digits than its factorization.

45958 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2102.

The product of its digits is 7200, while the sum is 31.

The square root of 45958 is about 214.3781705305. The cubic root of 45958 is about 35.8195704613.

It can be divided in two parts, 4 and 5958, that multiplied together give a palindrome (23832).

The spelling of 45958 in words is "forty-five thousand, nine hundred fifty-eight".