45933 has 8 divisors (see below), whose sum is σ = 62496. Its totient is φ = 30000.

The previous prime is 45893. The next prime is 45943. The reversal of 45933 is 33954.

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

It is not a de Polignac number, because 45933 - 2⁶ = 45869 is a prime.

It is an Ulam number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45943) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 58 + ... + 308.

It is an arithmetic number, because the mean of its divisors is an integer number (7812).

2⁴⁵⁹³³ is an apocalyptic number.

It is an amenable number.

45933 is a deficient number, since it is larger than the sum of its proper divisors (16563).

45933 is a wasteful number, since it uses less digits than its factorization.

45933 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315.

The product of its digits is 1620, while the sum is 24.

The square root of 45933 is about 214.3198544232. The cubic root of 45933 is about 35.8130743004.

It can be divided in two parts, 4 and 5933, that multiplied together give a palindrome (23732).

The spelling of 45933 in words is "forty-five thousand, nine hundred thirty-three".