46713 has 8 divisors (see below), whose sum is σ = 65088. Its totient is φ = 29744.

The previous prime is 46703. The next prime is 46723. The reversal of 46713 is 31764.

It is an interprime number because it is at equal distance from previous prime (46703) and next prime (46723).

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

It is a cyclic number.

It is not a de Polignac number, because 46713 - 2⁵ = 46681 is a prime.

It is a d-powerful number, because it can be written as 4 + 6⁶ + 7² + 1 + 3 .

It is a Curzon number.

46713 is a lucky number.

It is a nialpdrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 46713.

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 7 ways as a sum of consecutive naturals, for example, 270 + ... + 407.

It is an arithmetic number, because the mean of its divisors is an integer number (8136).

2⁴⁶⁷¹³ is an apocalyptic number.

It is an amenable number.

46713 is a deficient number, since it is larger than the sum of its proper divisors (18375).

46713 is a wasteful number, since it uses less digits than its factorization.

46713 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 703.

The product of its digits is 504, while the sum is 21.

The square root of 46713 is about 216.1319041697. The cubic root of 46713 is about 36.0146545276.

The spelling of 46713 in words is "forty-six thousand, seven hundred thirteen".