45937 has 4 divisors (see below), whose sum is σ = 46656. Its totient is φ = 45220.

The previous prime is 45893. The next prime is 45943. The reversal of 45937 is 73954.

It is the 88-th star number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 45937 - 2¹¹ = 43889 is a prime.

It is a super-2 number, since 2×45937² = 4220415938, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (45137) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 253 + ... + 394.

It is an arithmetic number, because the mean of its divisors is an integer number (11664).

2⁴⁵⁹³⁷ is an apocalyptic number.

It is an amenable number.

45937 is a deficient number, since it is larger than the sum of its proper divisors (719).

45937 is an equidigital number, since it uses as much as digits as its factorization.

45937 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 718.

The product of its digits is 3780, while the sum is 28.

The square root of 45937 is about 214.3291860667. The cubic root of 45937 is about 35.8141138445.

It can be divided in two parts, 459 and 37, that added together give a triangular number (496 = T₃₁).

The spelling of 45937 in words is "forty-five thousand, nine hundred thirty-seven".