46801 has 4 divisors (see below), whose sum is σ = 49572. Its totient is φ = 44032.

The previous prime is 46771. The next prime is 46807. The reversal of 46801 is 10864.

46801 is an esthetic number in base 3, because in such base its adjacent digits differ by 1.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 40401 + 6400 = 201^2 + 80^2 .

It is a cyclic number.

It is not a de Polignac number, because 46801 - 2⁵ = 46769 is a prime.

46801 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (46807) 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, 1360 + ... + 1393.

It is an arithmetic number, because the mean of its divisors is an integer number (12393).

2⁴⁶⁸⁰¹ is an apocalyptic number.

It is an amenable number.

46801 is a deficient number, since it is larger than the sum of its proper divisors (2771).

46801 is a wasteful number, since it uses less digits than its factorization.

46801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2770.

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 46801 is about 216.3353877663. The cubic root of 46801 is about 36.0372556702.

Subtracting from 46801 its reverse (10864), we obtain a cube (35937 = 33³).

The spelling of 46801 in words is "forty-six thousand, eight hundred one".