46501 has 12 divisors (see below), whose sum is σ = 59052. Its totient is φ = 36288.

The previous prime is 46499. The next prime is 46507. The reversal of 46501 is 10564.

46501 = T₇₈ + T₇₉ + ... + T₉₀.

46501 is nontrivially palindromic in base 9.

It can be written as a sum of positive squares in 2 ways, for example, as 15876 + 30625 = 126^2 + 175^2 .

It is not a de Polignac number, because 46501 - 2¹ = 46499 is a prime.

It is a super-3 number, since 3×46501³ = 301653335668503, which contains 333 as substring.

46501 is an undulating number in base 9.

It is a nialpdrome in base 15.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 601 + ... + 673.

It is an arithmetic number, because the mean of its divisors is an integer number (4921).

2⁴⁶⁵⁰¹ is an apocalyptic number.

46501 is the 125-th hex number.

It is an amenable number.

46501 is a deficient number, since it is larger than the sum of its proper divisors (12551).

46501 is a wasteful number, since it uses less digits than its factorization.

46501 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 46501 is about 215.6409052105. The cubic root of 46501 is about 35.9600895155.

Subtracting from 46501 its reverse (10564), we obtain a cube (35937 = 33³).

The spelling of 46501 in words is "forty-six thousand, five hundred one".