46701 has 6 divisors (see below), whose sum is σ = 67470. Its totient is φ = 31128.

The previous prime is 46691. The next prime is 46703. The reversal of 46701 is 10764.

46701 is nontrivially palindromic in base 2.

It can be written as a sum of positive squares in only one way, i.e., 44100 + 2601 = 210^2 + 51^2 .

It is not a de Polignac number, because 46701 - 2⁷ = 46573 is a prime.

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 (46703) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2586 + ... + 2603.

It is an arithmetic number, because the mean of its divisors is an integer number (11245).

2⁴⁶⁷⁰¹ is an apocalyptic number.

It is an amenable number.

46701 is a deficient number, since it is larger than the sum of its proper divisors (20769).

46701 is a wasteful number, since it uses less digits than its factorization.

46701 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5195 (or 5192 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 46701 is about 216.1041415614. The cubic root of 46701 is about 36.0115703550.

Subtracting from 46701 its reverse (10764), we obtain a cube (35937 = 33³).

It can be divided in two parts, 46 and 701, that added together give a palindrome (747).

The spelling of 46701 in words is "forty-six thousand, seven hundred one".