46537 has 4 divisors (see below), whose sum is σ = 46980. Its totient is φ = 46096.

The previous prime is 46523. The next prime is 46549. The reversal of 46537 is 73564.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in 2 ways, for example, as 22201 + 24336 = 149^2 + 156^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-46537 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 46537.

It is not an unprimeable number, because it can be changed into a prime (46507) 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, 39 + ... + 307.

It is an arithmetic number, because the mean of its divisors is an integer number (11745).

2⁴⁶⁵³⁷ is an apocalyptic number.

It is an amenable number.

46537 is a deficient number, since it is larger than the sum of its proper divisors (443).

46537 is a wasteful number, since it uses less digits than its factorization.

46537 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442.

The product of its digits is 2520, while the sum is 25.

The square root of 46537 is about 215.7243611649. The cubic root of 46537 is about 35.9693669453.

It can be divided in two parts, 465 and 37, that multiplied together give a triangular number (17205 = T₁₈₅).

The spelling of 46537 in words is "forty-six thousand, five hundred thirty-seven".