45955 has 16 divisors (see below), whose sum is σ = 68544. Its totient is φ = 28800.

The previous prime is 45953. The next prime is 45959. The reversal of 45955 is 55954.

45955 = 78² + 79² + ... + 84².

45955 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 45955 - 2¹ = 45953 is a prime.

It is a super-2 number, since 2×45955² = 4223724050, which contains 22 as substring.

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

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 405 + ... + 505.

It is an arithmetic number, because the mean of its divisors is an integer number (4284).

2⁴⁵⁹⁵⁵ is an apocalyptic number.

45955 is a deficient number, since it is larger than the sum of its proper divisors (22589).

45955 is a wasteful number, since it uses less digits than its factorization.

45955 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126.

The product of its digits is 4500, while the sum is 28.

The square root of 45955 is about 214.3711734352. The cubic root of 45955 is about 35.8187910464.

Subtracting 45955 from its reverse (55954), we obtain a palindrome (9999).

It can be divided in two parts, 45 and 955, that added together give a cube (1000 = 10³).

The spelling of 45955 in words is "forty-five thousand, nine hundred fifty-five".